diff --git a/repo2docker/buildpacks/conda/install-base-env.bash b/repo2docker/buildpacks/conda/install-base-env.bash
index c3b24fcb..59e65a93 100755
--- a/repo2docker/buildpacks/conda/install-base-env.bash
+++ b/repo2docker/buildpacks/conda/install-base-env.bash
@@ -5,8 +5,8 @@ set -ex
 
 cd $(dirname $0)
 
-export MAMBA_VERSION=1.5.1
-export CONDA_VERSION=23.7.4
+export MAMBA_VERSION=1.5.7
+export CONDA_VERSION=24.3.0
 
 URL="https://anaconda.org/conda-forge/micromamba/${MAMBA_VERSION}/download/${CONDA_PLATFORM}/micromamba-${MAMBA_VERSION}-0.tar.bz2"
 
diff --git a/tests/conda/py35-binder-dir/verify b/tests/conda/py35-binder-dir/verify
index b51adf1e..1f0ecc5f 100755
--- a/tests/conda/py35-binder-dir/verify
+++ b/tests/conda/py35-binder-dir/verify
@@ -16,13 +16,13 @@ v = out.split()[1]
 assert v[:3] == "3.5", out
 
 out = sh(["micromamba", "--version"])
-assert out == "1.5.1", out
+assert out == "1.5.7", out
 
 out = sh(["mamba", "--version"])
 assert (
     out
-    == """mamba 1.5.1
-conda 23.7.4"""
+    == """mamba 1.5.7
+conda 24.3.0"""
 ), out
 
 sh([kernel_python, "-c", "import numpy"])