diff --git a/Cargo.lock b/Cargo.lock
index aae1fb476..d68d811c4 100644
--- a/Cargo.lock
+++ b/Cargo.lock
@@ -1255,6 +1255,27 @@ dependencies = [
  "byteorder",
 ]
 
+[[package]]
+name = "errno"
+version = "0.2.8"
+source = "registry+https://github.com/rust-lang/crates.io-index"
+checksum = "f639046355ee4f37944e44f60642c6f3a7efa3cf6b78c78a0d989a8ce6c396a1"
+dependencies = [
+ "errno-dragonfly",
+ "libc",
+ "winapi",
+]
+
+[[package]]
+name = "errno-dragonfly"
+version = "0.1.2"
+source = "registry+https://github.com/rust-lang/crates.io-index"
+checksum = "aa68f1b12764fab894d2755d2518754e71b4fd80ecfb822714a1206c2aab39bf"
+dependencies = [
+ "cc",
+ "libc",
+]
+
 [[package]]
 name = "eyre"
 version = "0.6.7"
@@ -2003,6 +2024,16 @@ dependencies = [
  "cfg-if 1.0.0",
 ]
 
+[[package]]
+name = "io-lifetimes"
+version = "1.0.4"
+source = "registry+https://github.com/rust-lang/crates.io-index"
+checksum = "e7d6c6f8c91b4b9ed43484ad1a938e393caf35960fce7f82a040497207bd8e9e"
+dependencies = [
+ "libc",
+ "windows-sys 0.42.0",
+]
+
 [[package]]
 name = "ipnet"
 version = "2.4.0"
@@ -2205,6 +2236,12 @@ version = "0.5.6"
 source = "registry+https://github.com/rust-lang/crates.io-index"
 checksum = "0717cef1bc8b636c6e1c1bbdefc09e6322da8a9321966e8928ef80d20f7f770f"
 
+[[package]]
+name = "linux-raw-sys"
+version = "0.1.4"
+source = "registry+https://github.com/rust-lang/crates.io-index"
+checksum = "f051f77a7c8e6957c0696eac88f26b0117e54f52d3fc682ab19397a8812846a4"
+
 [[package]]
 name = "lock_api"
 version = "0.4.6"
@@ -3431,15 +3468,6 @@ version = "0.6.27"
 source = "registry+https://github.com/rust-lang/crates.io-index"
 checksum = "a3f87b73ce11b1619a3c6332f45341e0047173771e8b8b73f87bfeefb7b56244"
 
-[[package]]
-name = "remove_dir_all"
-version = "0.5.3"
-source = "registry+https://github.com/rust-lang/crates.io-index"
-checksum = "3acd125665422973a33ac9d3dd2df85edad0f4ae9b00dafb1a05e43a9f5ef8e7"
-dependencies = [
- "winapi",
-]
-
 [[package]]
 name = "reqwest"
 version = "0.11.14"
@@ -3572,6 +3600,20 @@ dependencies = [
  "semver 1.0.16",
 ]
 
+[[package]]
+name = "rustix"
+version = "0.36.7"
+source = "registry+https://github.com/rust-lang/crates.io-index"
+checksum = "d4fdebc4b395b7fbb9ab11e462e20ed9051e7b16e42d24042c776eca0ac81b03"
+dependencies = [
+ "bitflags",
+ "errno",
+ "io-lifetimes",
+ "libc",
+ "linux-raw-sys",
+ "windows-sys 0.42.0",
+]
+
 [[package]]
 name = "rustls"
 version = "0.20.7"
@@ -4145,16 +4187,15 @@ checksum = "55937e1799185b12863d447f42597ed69d9928686b8d88a1df17376a097d8369"
 
 [[package]]
 name = "tempfile"
-version = "3.3.0"
+version = "3.4.0"
 source = "registry+https://github.com/rust-lang/crates.io-index"
-checksum = "5cdb1ef4eaeeaddc8fbd371e5017057064af0911902ef36b39801f67cc6d79e4"
+checksum = "af18f7ae1acd354b992402e9ec5864359d693cd8a79dcbef59f76891701c1e95"
 dependencies = [
  "cfg-if 1.0.0",
  "fastrand",
- "libc",
  "redox_syscall",
- "remove_dir_all",
- "winapi",
+ "rustix",
+ "windows-sys 0.42.0",
 ]
 
 [[package]]
diff --git a/zebra-state/Cargo.toml b/zebra-state/Cargo.toml
index da5878234..209d7f635 100644
--- a/zebra-state/Cargo.toml
+++ b/zebra-state/Cargo.toml
@@ -37,7 +37,7 @@ regex = "1.7.1"
 rlimit = "0.9.1"
 rocksdb = { version = "0.20.1", default_features = false, features = ["lz4"] }
 serde = { version = "1.0.152", features = ["serde_derive"] }
-tempfile = "3.3.0"
+tempfile = "3.4.0"
 thiserror = "1.0.38"
 
 rayon = "1.6.1"
diff --git a/zebra-test/Cargo.toml b/zebra-test/Cargo.toml
index 1db251512..7394925f0 100644
--- a/zebra-test/Cargo.toml
+++ b/zebra-test/Cargo.toml
@@ -36,4 +36,4 @@ tracing-error = "0.2.0"
 tracing = "0.1.37"
 
 [dev-dependencies]
-tempfile = "3.3.0"
+tempfile = "3.4.0"
diff --git a/zebrad/Cargo.toml b/zebrad/Cargo.toml
index e33405674..068c9e6d1 100644
--- a/zebrad/Cargo.toml
+++ b/zebrad/Cargo.toml
@@ -179,7 +179,7 @@ semver = "1.0.16"
 
 # zebra-rpc needs the preserve_order feature, it also makes test results more stable
 serde_json = { version = "1.0.93", features = ["preserve_order"] }
-tempfile = "3.3.0"
+tempfile = "3.4.0"
 
 hyper = { version = "0.14.24", features = ["http1", "http2", "server"]}
 reqwest = "0.11.14"