diff --git a/Changelog.md b/Changelog.md
index 7124c8325..36dd7ba3a 100644
--- a/Changelog.md
+++ b/Changelog.md
@@ -9,6 +9,7 @@ and this project adheres to [Semantic Versioning](https://semver.org/spec/v2.0.0
 
 * Add Linux armv7l python sysconfig in [#901](https://github.com/PyO3/maturin/pull/901)
 * Add NetBSD python sysconfig in [#903](https://github.com/PyO3/maturin/pull/903)
+* Update 'replace_needed' to reduce total calls to 'patchelf' in [#905](https://github.com/PyO3/maturin/pull/905)
 
 ## [0.12.15] - 2022-05-07
 
diff --git a/src/auditwheel/patchelf.rs b/src/auditwheel/patchelf.rs
index f3cd2a1ad..181e40917 100644
--- a/src/auditwheel/patchelf.rs
+++ b/src/auditwheel/patchelf.rs
@@ -4,16 +4,15 @@ use std::path::Path;
 use std::process::Command;
 
 /// Replace a declared dependency on a dynamic library with another one (`DT_NEEDED`)
-pub fn replace_needed<S: AsRef<OsStr>>(
+pub fn replace_needed<O: AsRef<OsStr>, N: AsRef<OsStr>>(
     file: impl AsRef<Path>,
-    old_lib: &str,
-    new_lib: &S,
+    old_new_pairs: &[(O, N)],
 ) -> Result<()> {
     let mut cmd = Command::new("patchelf");
-    cmd.arg("--replace-needed")
-        .arg(old_lib)
-        .arg(new_lib)
-        .arg(file.as_ref());
+    for (old, new) in old_new_pairs {
+        cmd.arg("--replace-needed").arg(old).arg(new);
+    }
+    cmd.arg(file.as_ref());
     let output = cmd
         .output()
         .context("Failed to execute 'patchelf', did you install it? Hint: Try `pip install maturin[patchelf]` (or just `pip install patchelf`)")?;
diff --git a/src/build_context.rs b/src/build_context.rs
index 73858da53..7cf286850 100644
--- a/src/build_context.rs
+++ b/src/build_context.rs
@@ -309,23 +309,34 @@ impl BuildContext {
             if !lib.rpath.is_empty() || !lib.runpath.is_empty() {
                 patchelf::set_rpath(&dest_path, &libs_dir)?;
             }
-            patchelf::replace_needed(artifact, &lib.name, &new_soname)?;
             soname_map.insert(
                 lib.name.clone(),
                 (new_soname.clone(), dest_path.clone(), lib.needed.clone()),
             );
         }
 
+        let replacements = soname_map
+            .iter()
+            .map(|(k, v)| (k, v.0.clone()))
+            .collect::<Vec<_>>();
+        if !replacements.is_empty() {
+            patchelf::replace_needed(artifact, &replacements[..])?;
+        }
+
         // we grafted in a bunch of libraries and modified their sonames, but
         // they may have internal dependencies (DT_NEEDED) on one another, so
         // we need to update those records so each now knows about the new
         // name of the other.
         for (new_soname, path, needed) in soname_map.values() {
+            let mut replacements = Vec::new();
             for n in needed {
                 if soname_map.contains_key(n) {
-                    patchelf::replace_needed(path, n, &soname_map[n].0)?;
+                    replacements.push((n, soname_map[n].0.clone()));
                 }
             }
+            if !replacements.is_empty() {
+                patchelf::replace_needed(path, &replacements[..])?;
+            }
             writer.add_file_with_permissions(libs_dir.join(new_soname), path, 0o755)?;
         }
 
diff --git a/tests/manylinux_compliant.sh b/tests/manylinux_compliant.sh
index 7a4e3b086..5cba08c02 100755
--- a/tests/manylinux_compliant.sh
+++ b/tests/manylinux_compliant.sh
@@ -1,6 +1,8 @@
 #!/bin/bash
+set -e
+
 which cargo > /dev/null 2>&1 || curl -sSf https://sh.rustup.rs | sh -s -- -y --profile minimal
 
-for PYBIN in /opt/python/cp3[6789]*/bin; do
+for PYBIN in /opt/python/cp3[789]*/bin; do
   cargo run -- build --no-sdist -m test-crates/pyo3-mixed/Cargo.toml -i "${PYBIN}/python" --manylinux $1 -o dist
 done
diff --git a/tests/manylinux_incompliant.sh b/tests/manylinux_incompliant.sh
index a04a645c7..e64c9dd4d 100755
--- a/tests/manylinux_incompliant.sh
+++ b/tests/manylinux_incompliant.sh
@@ -1,4 +1,6 @@
 #!/bin/bash
+set -e
+
 which cargo > /dev/null || curl -sSf https://sh.rustup.rs | sh -s -- -y --profile minimal
 
 # Fail because we're running in manylinux2014, which can't build for manylinux 2010
@@ -12,7 +14,8 @@ for PYBIN in /opt/python/cp3[9]*/bin; do
 done
 
 # Fail because we're linking zlib with black-listed symbols(gzflags), which is not allowed in manylinux
-yum install -y zlib-devel
+apt-get -v &> /dev/null && apt-get install -y zlib1g-dev || yum install -y zlib-devel
+
 for PYBIN in /opt/python/cp3[9]*/bin; do
   if cargo run -- build --no-sdist -m test-crates/lib_with_disallowed_lib/Cargo.toml -i "${PYBIN}/python" --manylinux 2014 -o dist; then
     echo "maturin build unexpectedly succeeded"