diff --git a/Cargo.lock b/Cargo.lock
index 34baa0b6abecafc77ec49e2247e1f1b91678d108..be240f2d01343a845f5dcf2166bf03560750210c 100644
--- a/Cargo.lock
+++ b/Cargo.lock
@@ -237,7 +237,7 @@ source = "registry+https://github.com/rust-lang/crates.io-index"
 checksum = "346f04948ba92c43e8469c1ee6736c7563d71012b17d40745260fe106aac2166"
 dependencies = [
  "base64ct",
- "rand_core 0.6.4",
+ "rand_core",
  "subtle",
 ]
 
@@ -262,15 +262,6 @@ checksum = "b4596b6d070b27117e987119b4dac604f3c58cfb0b191112e24771b2faeac1a6"
 name = "posix-regex"
 version = "0.1.0"
 
-[[package]]
-name = "ppv-lite86"
-version = "0.2.20"
-source = "registry+https://github.com/rust-lang/crates.io-index"
-checksum = "77957b295656769bb8ad2b6a6b09d897d94f05c41b069aede1fcdaa675eaea04"
-dependencies = [
- "zerocopy",
-]
-
 [[package]]
 name = "proc-macro2"
 version = "1.0.86"
@@ -291,74 +282,37 @@ dependencies = [
 
 [[package]]
 name = "rand"
-version = "0.7.3"
+version = "0.8.5"
 source = "registry+https://github.com/rust-lang/crates.io-index"
-checksum = "6a6b1679d49b24bbfe0c803429aa1874472f50d9b363131f0e89fc356b544d03"
+checksum = "34af8d1a0e25924bc5b7c43c079c942339d8f0a8b57c39049bef581b46327404"
 dependencies = [
- "rand_chacha",
- "rand_core 0.5.1",
- "rand_hc",
- "rand_pcg",
+ "rand_core",
 ]
 
-[[package]]
-name = "rand_chacha"
-version = "0.2.2"
-source = "registry+https://github.com/rust-lang/crates.io-index"
-checksum = "f4c8ed856279c9737206bf725bf36935d8666ead7aa69b52be55af369d193402"
-dependencies = [
- "ppv-lite86",
- "rand_core 0.5.1",
-]
-
-[[package]]
-name = "rand_core"
-version = "0.5.1"
-source = "registry+https://github.com/rust-lang/crates.io-index"
-checksum = "90bde5296fc891b0cef12a6d03ddccc162ce7b2aff54160af9338f8d40df6d19"
-
 [[package]]
 name = "rand_core"
 version = "0.6.4"
 source = "registry+https://github.com/rust-lang/crates.io-index"
 checksum = "ec0be4795e2f6a28069bec0b5ff3e2ac9bafc99e6a9a7dc3547996c5c816922c"
 
-[[package]]
-name = "rand_hc"
-version = "0.2.0"
-source = "registry+https://github.com/rust-lang/crates.io-index"
-checksum = "ca3129af7b92a17112d59ad498c6f81eaf463253766b90396d39ea7a39d6613c"
-dependencies = [
- "rand_core 0.5.1",
-]
-
 [[package]]
 name = "rand_jitter"
-version = "0.3.0"
+version = "0.4.0"
 source = "registry+https://github.com/rust-lang/crates.io-index"
-checksum = "a404fd88e0f817fc1c3351b9ba2207ffa65038cdde464405308a5f5d254835fe"
+checksum = "814ba4c101d5c52ef4e6e8e5288c4b6e03d840af28e4d0ff9edab06ed5e1f2f4"
 dependencies = [
  "libc",
- "rand_core 0.5.1",
+ "rand_core",
  "winapi",
 ]
 
-[[package]]
-name = "rand_pcg"
-version = "0.2.1"
-source = "registry+https://github.com/rust-lang/crates.io-index"
-checksum = "16abd0c1b639e9eb4d7c50c0b8100b0d0f849be2349829c740fe8e6eb4816429"
-dependencies = [
- "rand_core 0.5.1",
-]
-
 [[package]]
 name = "rand_xorshift"
-version = "0.2.0"
+version = "0.3.0"
 source = "registry+https://github.com/rust-lang/crates.io-index"
-checksum = "77d416b86801d23dde1aa643023b775c3a462efc0ed96443add11546cdf1dca8"
+checksum = "d25bf25ec5ae4a3f1b92f929810509a2f53d7dca2f50b794ff57e3face536c8f"
 dependencies = [
- "rand_core 0.5.1",
+ "rand_core",
 ]
 
 [[package]]
@@ -565,24 +519,3 @@ name = "winapi-x86_64-pc-windows-gnu"
 version = "0.4.0"
 source = "registry+https://github.com/rust-lang/crates.io-index"
 checksum = "712e227841d057c1ee1cd2fb22fa7e5a5461ae8e48fa2ca79ec42cfc1931183f"
-
-[[package]]
-name = "zerocopy"
-version = "0.7.35"
-source = "registry+https://github.com/rust-lang/crates.io-index"
-checksum = "1b9b4fd18abc82b8136838da5d50bae7bdea537c574d8dc1a34ed098d6c166f0"
-dependencies = [
- "byteorder",
- "zerocopy-derive",
-]
-
-[[package]]
-name = "zerocopy-derive"
-version = "0.7.35"
-source = "registry+https://github.com/rust-lang/crates.io-index"
-checksum = "fa4f8080344d4671fb4e831a13ad1e68092748387dfc4f55e356242fae12ce3e"
-dependencies = [
- "proc-macro2",
- "quote",
- "syn",
-]
diff --git a/Cargo.toml b/Cargo.toml
index 668f1ac578f9e125d2b8bfbe07a18c2369dc5f2e..3572e2cae645974479b267d404553044b8f707f5 100644
--- a/Cargo.toml
+++ b/Cargo.toml
@@ -28,9 +28,9 @@ cbitset = "0.2"
 posix-regex = { path = "posix-regex", features = ["no_std"] }
 
 # TODO: For some reason, rand_jitter hasn't been updated to use the latest rand_core
-rand = { version = "0.7", default-features = false, features = ["small_rng"] }
-rand_xorshift = "0.2"
-rand_jitter = "0.3"
+rand = { version = "0.8", default-features = false, features = ["small_rng"] }
+rand_xorshift = "0.3"
+rand_jitter = "0.4"
 
 memchr = { version = "2.2.0", default-features = false }
 plain = "0.2"