diff --git a/Cargo.lock b/Cargo.lock
index af524f8a..79556792 100644
--- a/Cargo.lock
+++ b/Cargo.lock
@@ -1117,9 +1117,9 @@ dependencies = [
 
 [[package]]
 name = "futures-core"
-version = "0.3.12"
+version = "0.3.13"
 source = "registry+https://github.com/rust-lang/crates.io-index"
-checksum = "79e5145dde8da7d1b3892dad07a9c98fc04bc39892b1ecc9692cf53e2b780a65"
+checksum = "15496a72fabf0e62bdc3df11a59a3787429221dd0710ba8ef163d6f7a9112c94"
 
 [[package]]
 name = "futures-cpupool"
diff --git a/tower-batch/Cargo.toml b/tower-batch/Cargo.toml
index 1298eb8c..4c72b32e 100644
--- a/tower-batch/Cargo.toml
+++ b/tower-batch/Cargo.toml
@@ -8,7 +8,7 @@ edition = "2018"
 [dependencies]
 tokio = { version = "0.3.6", features = ["time", "sync", "stream", "tracing", "macros"] }
 tower = { version = "0.4", features = ["util", "buffer"] }
-futures-core = "0.3.6"
+futures-core = "0.3.13"
 pin-project = "0.4.27"
 tracing = "0.1.24"
 tracing-futures = "0.2.5"
diff --git a/tower-fallback/Cargo.toml b/tower-fallback/Cargo.toml
index 18f90822..c49b98eb 100644
--- a/tower-fallback/Cargo.toml
+++ b/tower-fallback/Cargo.toml
@@ -7,7 +7,7 @@ edition = "2018"
 
 [dependencies]
 tower = "0.4"
-futures-core = "0.3.6"
+futures-core = "0.3.13"
 pin-project = "0.4.27"
 tracing = "0.1"