diff --git a/Cargo.lock b/Cargo.lock
index ced507a791c42..3bb7a4e64560c 100644
--- a/Cargo.lock
+++ b/Cargo.lock
@@ -413,6 +413,12 @@ dependencies = [
  "num-traits",
 ]
 
+[[package]]
+name = "atomic-waker"
+version = "1.1.2"
+source = "registry+https://github.com/rust-lang/crates.io-index"
+checksum = "1505bd5d3d116872e7271a6d4e16d81d0c8570876c8de68093a09ac269d8aac0"
+
 [[package]]
 name = "atty"
 version = "0.2.14"
@@ -753,7 +759,7 @@ dependencies = [
  "aws-smithy-types",
  "bytes",
  "fastrand",
- "h2",
+ "h2 0.3.26",
  "http 0.2.9",
  "http-body 0.4.5",
  "http-body 1.0.0",
@@ -2591,6 +2597,25 @@ dependencies = [
  "tracing",
 ]
 
+[[package]]
+name = "h2"
+version = "0.4.5"
+source = "registry+https://github.com/rust-lang/crates.io-index"
+checksum = "fa82e28a107a8cc405f0839610bdc9b15f1e25ec7d696aa5cf173edbcb1486ab"
+dependencies = [
+ "atomic-waker",
+ "bytes",
+ "fnv",
+ "futures-core",
+ "futures-sink",
+ "http 1.1.0",
+ "indexmap 2.0.0",
+ "slab",
+ "tokio",
+ "tokio-util",
+ "tracing",
+]
+
 [[package]]
 name = "half"
 version = "1.6.0"
@@ -2832,7 +2857,7 @@ dependencies = [
  "futures-channel",
  "futures-core",
  "futures-util",
- "h2",
+ "h2 0.3.26",
  "http 0.2.9",
  "http-body 0.4.5",
  "httparse",
@@ -5277,7 +5302,7 @@ dependencies = [
  "futures",
  "futures-task",
  "futures-util",
- "h2",
+ "h2 0.4.5",
  "hex",
  "mz-build-info",
  "mz-build-tools",
@@ -7921,7 +7946,7 @@ dependencies = [
  "encoding_rs",
  "futures-core",
  "futures-util",
- "h2",
+ "h2 0.3.26",
  "http 0.2.9",
  "http-body 0.4.5",
  "hyper",
@@ -9478,7 +9503,7 @@ dependencies = [
  "flate2",
  "futures-core",
  "futures-util",
- "h2",
+ "h2 0.3.26",
  "http 0.2.9",
  "http-body 0.4.5",
  "hyper",
diff --git a/src/persist-client/Cargo.toml b/src/persist-client/Cargo.toml
index 39cca029f26bc..e880c39cd679c 100644
--- a/src/persist-client/Cargo.toml
+++ b/src/persist-client/Cargo.toml
@@ -37,7 +37,7 @@ clap = { version = "3.2.24", features = ["derive"] }
 differential-dataflow = "0.12.0"
 futures = "0.3.25"
 futures-util = "0.3"
-h2 = "0.3.13"
+h2 = "0.4.5"
 hex = "0.4.3"
 mz-build-info = { path = "../build-info" }
 mz-dyncfg = { path = "../dyncfg" }