diff --git a/arrow/Cargo.toml b/arrow/Cargo.toml
index 50aac92800f3..12c141c0a8f8 100644
--- a/arrow/Cargo.toml
+++ b/arrow/Cargo.toml
@@ -40,7 +40,7 @@ path = "src/lib.rs"
 serde = { version = "1.0" }
 serde_derive = "1.0"
 serde_json = { version = "1.0", features = ["preserve_order"] }
-indexmap = "1.6"
+indexmap = { version = "1.6", features = ["std"] }
 rand = { version = "0.8", optional = true }
 num = "0.4"
 half = "1.8"
@@ -48,7 +48,7 @@ csv_crate = { version = "1.1", optional = true, package="csv" }
 regex = "1.3"
 lazy_static = "1.4"
 packed_simd = { version = "0.3", optional = true, package = "packed_simd_2" }
-chrono = "0.4"
+chrono = { version = "0.4", default-features = false, features = ["clock"] }
 chrono-tz = {version = "0.4", optional = true}
 flatbuffers = { version = "=2.0.0", optional = true }
 hex = "0.4"
diff --git a/parquet/Cargo.toml b/parquet/Cargo.toml
index 71557c666a0f..f777b10f7556 100644
--- a/parquet/Cargo.toml
+++ b/parquet/Cargo.toml
@@ -38,7 +38,7 @@ brotli = { version = "3.3", optional = true }
 flate2 = { version = "1.0", optional = true }
 lz4 = { version = "1.23", optional = true }
 zstd = { version = "0.9", optional = true }
-chrono = "0.4"
+chrono = { version = "0.4", default-features = false }
 num-bigint = "0.4"
 arrow = { path = "../arrow", version = "7.0.0-SNAPSHOT", optional = true, default-features = false, features = ["ipc"] }
 base64 = { version = "0.13", optional = true }