-[ "$RUSTC_MINOR_VERSION" -lt 49 ] && cargo update -p tokio --precise "1.14.0" --verbose
-[[ "$RUSTC_MINOR_VERSION" -gt 48 && "$RUSTC_MINOR_VERSION" -lt 56 ]] && cargo update -p tokio --precise "1.26.0" --verbose
+[ "$RUSTC_MINOR_VERSION" -lt 49 ] && cargo update -p tokio --precise "1.14.1" --verbose
+[[ "$RUSTC_MINOR_VERSION" -gt 48 && "$RUSTC_MINOR_VERSION" -lt 56 ]] && cargo update -p tokio --precise "1.25.1" --verbose
+
+# Sadly the log crate is always a dependency of tokio until 1.20, and has no reasonable MSRV guarantees
+[ "$RUSTC_MINOR_VERSION" -lt 49 ] && cargo update -p log --precise "0.4.18" --verbose
+
+# The addr2line v0.20 crate (a dependency of `backtrace` starting with 0.3.68) relies on 1.55+
+[ "$RUSTC_MINOR_VERSION" -lt 55 ] && cargo update -p backtrace --precise "0.3.67" --verbose
+
+# The serde_json crate switched to Rust edition 2021 starting with v1.0.101, i.e., has MSRV of 1.56
+[ "$RUSTC_MINOR_VERSION" -lt 56 ] && cargo update -p serde_json --precise "1.0.100" --verbose
+