diff --git a/Cargo.lock b/Cargo.lock
index 40fd5f429..bf258b040 100644
--- a/Cargo.lock
+++ b/Cargo.lock
@@ -901,9 +901,9 @@ dependencies = [
 
 [[package]]
 name = "futures-core"
-version = "0.3.5"
+version = "0.3.6"
 source = "registry+https://github.com/rust-lang/crates.io-index"
-checksum = "59f5fff90fd5d971f936ad674802482ba441b6f09ba5e15fd8b39145582ca399"
+checksum = "d674eaa0056896d5ada519900dbf97ead2e46a7b6621e8160d79e2f2e1e2784b"
 
 [[package]]
 name = "futures-executor"
diff --git a/tower-batch/Cargo.toml b/tower-batch/Cargo.toml
index 6e61e6443..c663962a0 100644
--- a/tower-batch/Cargo.toml
+++ b/tower-batch/Cargo.toml
@@ -8,7 +8,7 @@ edition = "2018"
 [dependencies]
 tokio = { version = "0.2.22", features = ["time", "sync", "stream", "tracing"] }
 tower = { version = "0.3", features = ["util", "buffer"] }
-futures-core = "0.3.5"
+futures-core = "0.3.6"
 pin-project = "0.4.26"
 tracing = "0.1.21"
 tracing-futures = "0.2.4"
diff --git a/tower-fallback/Cargo.toml b/tower-fallback/Cargo.toml
index f2f72a58f..71521d8d6 100644
--- a/tower-fallback/Cargo.toml
+++ b/tower-fallback/Cargo.toml
@@ -7,7 +7,7 @@ edition = "2018"
 
 [dependencies]
 tower = "0.3"
-futures-core = "0.3.5"
+futures-core = "0.3.6"
 pin-project = "0.4.26"
 tracing = "0.1"