diff --git a/scripts/coverage.sh b/scripts/coverage.sh
index 8e09ae23a..0b45fbf64 100755
--- a/scripts/coverage.sh
+++ b/scripts/coverage.sh
@@ -3,13 +3,25 @@
 set -e
 
 function cov {
-    pytest \
-        --ignore-glob=*/setup.py \
-        --cov ${1} \
-        --cov-append \
-        --cov-branch \
-        --cov-report='' \
-        ${1}
+    if [ ${TOX_ENV_NAME:0:4} == "py34" ]
+    then
+        pytest \
+            --ignore-glob=*/setup.py \
+            --ignore-glob=ext/opentelemetry-ext-opentracing-shim/tests/testbed/* \
+            --cov ${1} \
+            --cov-append \
+            --cov-branch \
+            --cov-report='' \
+            ${1}
+    else
+        pytest \
+            --ignore-glob=*/setup.py \
+            --cov ${1} \
+            --cov-append \
+            --cov-branch \
+            --cov-report='' \
+            ${1}
+    fi
 }
 
 PYTHON_VERSION=$(python -c 'import sys; print(".".join(map(str, sys.version_info[:3])))')