diff --git a/Cargo-minimal.lock b/Cargo-minimal.lock
index 20ca41e5..efc2a258 100644
--- a/Cargo-minimal.lock
+++ b/Cargo-minimal.lock
@@ -19,8 +19,8 @@ name = "base58ck"
 version = "0.1.0"
 dependencies = [
  "bitcoin-internals",
- "bitcoin_hashes",
- "hex-conservative",
+ "bitcoin_hashes 0.14.0",
+ "hex-conservative 0.2.0",
 ]
 
 [[package]]
@@ -56,9 +56,9 @@ dependencies = [
  "bitcoin-internals",
  "bitcoin-io",
  "bitcoin-units",
- "bitcoin_hashes",
+ "bitcoin_hashes 0.14.0",
  "bitcoinconsensus",
- "hex-conservative",
+ "hex-conservative 0.2.0",
  "hex_lit",
  "mutagen",
  "ordered",
@@ -103,9 +103,19 @@ dependencies = [
 [[package]]
 name = "bitcoin_hashes"
 version = "0.13.0"
+source = "registry+https://github.com/rust-lang/crates.io-index"
+checksum = "1930a4dabfebb8d7d9992db18ebe3ae2876f0a305fab206fd168df931ede293b"
+dependencies = [
+ "bitcoin-internals",
+ "hex-conservative 0.1.1",
+]
+
+[[package]]
+name = "bitcoin_hashes"
+version = "0.14.0"
 dependencies = [
  "bitcoin-io",
- "hex-conservative",
+ "hex-conservative 0.2.0",
  "schemars",
  "serde",
  "serde_json",
@@ -162,6 +172,12 @@ version = "1.7.1"
 source = "registry+https://github.com/rust-lang/crates.io-index"
 checksum = "62aca2aba2d62b4a7f5b33f3712cb1b0692779a56fb510499d5c0aa594daeaf3"
 
+[[package]]
+name = "hex-conservative"
+version = "0.1.1"
+source = "registry+https://github.com/rust-lang/crates.io-index"
+checksum = "30ed443af458ccb6d81c1e7e661545f94d3176752fb1df2f543b902a1e0f51e2"
+
 [[package]]
 name = "hex-conservative"
 version = "0.2.0"
@@ -356,7 +372,7 @@ version = "0.28.0"
 source = "registry+https://github.com/rust-lang/crates.io-index"
 checksum = "2acea373acb8c21ecb5a23741452acd2593ed44ee3d343e72baaa143bc89d0d5"
 dependencies = [
- "bitcoin_hashes",
+ "bitcoin_hashes 0.13.0",
  "rand",
  "secp256k1-sys",
  "serde",
diff --git a/Cargo-recent.lock b/Cargo-recent.lock
index 959fb606..718ff67e 100644
--- a/Cargo-recent.lock
+++ b/Cargo-recent.lock
@@ -19,8 +19,8 @@ name = "base58ck"
 version = "0.1.0"
 dependencies = [
  "bitcoin-internals",
- "bitcoin_hashes",
- "hex-conservative",
+ "bitcoin_hashes 0.14.0",
+ "hex-conservative 0.2.0",
 ]
 
 [[package]]
@@ -55,9 +55,9 @@ dependencies = [
  "bitcoin-internals",
  "bitcoin-io",
  "bitcoin-units",
- "bitcoin_hashes",
+ "bitcoin_hashes 0.14.0",
  "bitcoinconsensus",
- "hex-conservative",
+ "hex-conservative 0.2.0",
  "hex_lit",
  "mutagen",
  "ordered",
@@ -102,9 +102,19 @@ dependencies = [
 [[package]]
 name = "bitcoin_hashes"
 version = "0.13.0"
+source = "registry+https://github.com/rust-lang/crates.io-index"
+checksum = "1930a4dabfebb8d7d9992db18ebe3ae2876f0a305fab206fd168df931ede293b"
+dependencies = [
+ "bitcoin-internals",
+ "hex-conservative 0.1.1",
+]
+
+[[package]]
+name = "bitcoin_hashes"
+version = "0.14.0"
 dependencies = [
  "bitcoin-io",
- "hex-conservative",
+ "hex-conservative 0.2.0",
  "schemars",
  "serde",
  "serde_json",
@@ -161,6 +171,12 @@ version = "1.7.1"
 source = "registry+https://github.com/rust-lang/crates.io-index"
 checksum = "62aca2aba2d62b4a7f5b33f3712cb1b0692779a56fb510499d5c0aa594daeaf3"
 
+[[package]]
+name = "hex-conservative"
+version = "0.1.1"
+source = "registry+https://github.com/rust-lang/crates.io-index"
+checksum = "30ed443af458ccb6d81c1e7e661545f94d3176752fb1df2f543b902a1e0f51e2"
+
 [[package]]
 name = "hex-conservative"
 version = "0.2.0"
@@ -345,7 +361,7 @@ version = "0.28.0"
 source = "registry+https://github.com/rust-lang/crates.io-index"
 checksum = "2acea373acb8c21ecb5a23741452acd2593ed44ee3d343e72baaa143bc89d0d5"
 dependencies = [
- "bitcoin_hashes",
+ "bitcoin_hashes 0.13.0",
  "rand",
  "secp256k1-sys",
  "serde",
diff --git a/base58/Cargo.toml b/base58/Cargo.toml
index f27b76e4..73a3580e 100644
--- a/base58/Cargo.toml
+++ b/base58/Cargo.toml
@@ -21,7 +21,7 @@ all-features = true
 rustdoc-args = ["--cfg", "docsrs"]
 
 [dependencies]
-hashes = { package = "bitcoin_hashes", version = "0.13.0", default-features = false, features = ["alloc"] }
+hashes = { package = "bitcoin_hashes", version = "0.14.0", default-features = false, features = ["alloc"] }
 internals = { package = "bitcoin-internals", version = "0.2.0" }
 
 [dev-dependencies]
diff --git a/bitcoin/Cargo.toml b/bitcoin/Cargo.toml
index 4aaed915..2b3fd880 100644
--- a/bitcoin/Cargo.toml
+++ b/bitcoin/Cargo.toml
@@ -30,7 +30,7 @@ rustdoc-args = ["--cfg", "docsrs"]
 [dependencies]
 base58 = { package = "base58ck", version = "0.1.0", default-features = false }
 bech32 = { version = "0.11.0", default-features = false, features = ["alloc"] }
-hashes = { package = "bitcoin_hashes", version = "0.13.0", default-features = false, features = ["alloc", "io"] }
+hashes = { package = "bitcoin_hashes", version = "0.14.0", default-features = false, features = ["alloc", "io"] }
 hex = { package = "hex-conservative", version = "0.2.0", default-features = false, features = ["alloc"] }
 hex_lit = "0.1.1"
 internals = { package = "bitcoin-internals", version = "0.2.0" }
diff --git a/contrib/run_task.sh b/contrib/run_task.sh
index 42c83135..d99042f4 100755
--- a/contrib/run_task.sh
+++ b/contrib/run_task.sh
@@ -168,9 +168,13 @@ do_dup_deps() {
     duplicate_dependencies=$(
         # Only show the actual duplicated deps, not their reverse tree, then
         # whitelist the 'syn' crate which is duplicated but it's not our fault.
+        #
+        # Temporarily allow 2 versions of `hashes` and `hex` while we upgrade.
         cargo tree  --target=all --all-features --duplicates \
             | grep '^[0-9A-Za-z]' \
             | grep -v 'syn' \
+            | grep -v 'bitcoin_hashes' \
+            | grep -v 'hex-conservative' \
             | wc -l
                           )
     if [ "$duplicate_dependencies" -ne 0 ]; then
diff --git a/hashes/CHANGELOG.md b/hashes/CHANGELOG.md
index 44d52f9c..ca96b020 100644
--- a/hashes/CHANGELOG.md
+++ b/hashes/CHANGELOG.md
@@ -1,3 +1,24 @@
+# 0.14.0 - 2024-03-21
+
+* Bump MSRV to Rust version 1.56.1 [#2188](https://github.com/rust-bitcoin/rust-bitcoin/pull/2188)
+
+## API improvemnts
+
+* Add support for SHA384 [#2538](https://github.com/rust-bitcoin/rust-bitcoin/pull/2538)
+* Make from_hex inherent for byte-like types [#2491](https://github.com/rust-bitcoin/rust-bitcoin/pull/2491)
+* Add `Hash::from_bytes_iter` to construct hashes from iterators [#2272](https://github.com/rust-bitcoin/rust-bitcoin/pull/2272)
+* Make some constructors `const` [#2446](https://github.com/rust-bitcoin/rust-bitcoin/pull/2446)
+
+## Features/dependencies changes
+
+* Removed `core2` dependency in favour of the new `bitcoin-io` crate [#2066](https://github.com/rust-bitcoin/rust-bitcoin/pull/2066)
+* Remove "serde-std" [#2384](https://github.com/rust-bitcoin/rust-bitcoin/pull/2384)
+
+## Error handling improvements
+
+* Improve leaf errors [#2530](https://github.com/rust-bitcoin/rust-bitcoin/pull/2530)
+* Implement `From<Infallible>` for errors [#2516](https://github.com/rust-bitcoin/rust-bitcoin/pull/2516)
+
 # 0.13.0 - 2023-06-29
 
 The main improvement in this version is removal of the `hex` module in favour of the new
diff --git a/hashes/Cargo.toml b/hashes/Cargo.toml
index 14368252..6538379b 100644
--- a/hashes/Cargo.toml
+++ b/hashes/Cargo.toml
@@ -1,6 +1,6 @@
 [package]
 name = "bitcoin_hashes"
-version = "0.13.0"
+version = "0.14.0"
 authors = ["Andrew Poelstra <apoelstra@wpsoftware.net>"]
 license = "CC0-1.0"
 repository = "https://github.com/rust-bitcoin/rust-bitcoin"