diff --git a/lib/galaxy/tools/parameters/basic.py b/lib/galaxy/tools/parameters/basic.py
index aeaba75baa2f..5b3d5eb40ee0 100644
--- a/lib/galaxy/tools/parameters/basic.py
+++ b/lib/galaxy/tools/parameters/basic.py
@@ -435,8 +435,6 @@ def __init__(self, tool, input_source):
                 int(self.value)
             except ValueError:
                 raise ParameterValueError("the attribute 'value' must be an integer", self.name)
-        elif self.value is None and not self.optional:
-            raise ParameterValueError("the attribute 'value' must be set for non optional parameters", self.name, None)
         self.min = input_source.get("min")
         self.max = input_source.get("max")
         if self.min:
@@ -511,8 +509,6 @@ def __init__(self, tool, input_source):
                 float(self.value)
             except ValueError:
                 raise ParameterValueError("the attribute 'value' must be a real number", self.name, self.value)
-        elif self.value is None and not self.optional:
-            raise ParameterValueError("the attribute 'value' must be set for non optional parameters", self.name, None)
         if self.min:
             try:
                 self.min = float(self.min)
diff --git a/test/functional/tools/integer_default.xml b/test/functional/tools/integer_default.xml
new file mode 100644
index 000000000000..ae8e5dbd15c9
--- /dev/null
+++ b/test/functional/tools/integer_default.xml
@@ -0,0 +1,33 @@
+<tool id="integer_default" name="Test integer default" version="0.1.0">
+    <command><![CDATA[
+echo ${int($input1) + int($input2) + int($input3)} > '$out_file1'
+    ]]></command>
+    <inputs>
+        <param name="input1" type="integer" value="0" label="Integer with default 0" />
+        <param name="input2" type="integer" value="" label="Integer with default empty string" />
+        <!-- Not needed any more to have `value=""` when there is no good default -->
+        <param name="input3" type="integer" label="Integer with no default value" />
+    </inputs>
+    <outputs>
+        <data name="out_file1" format="txt"/>
+    </outputs>
+    <tests>
+        <test>
+            <param name="input1" value="1" />
+            <param name="input2" value="2" />
+            <param name="input3" value="3" />
+            <output name="out_file1">
+                <assert_contents>
+                    <has_line line="6" />
+                </assert_contents>
+            </output>
+        </test>
+        <!-- Test that it fails if a non-optional integer param is not set -->
+        <test expect_failure="true">
+            <param name="input1" value="1" />
+            <param name="input2" value="2" />
+        </test>
+    </tests>
+    <help>
+    </help>
+</tool>
diff --git a/test/functional/tools/sample_tool_conf.xml b/test/functional/tools/sample_tool_conf.xml
index 6069630972b8..c706069d2bb0 100644
--- a/test/functional/tools/sample_tool_conf.xml
+++ b/test/functional/tools/sample_tool_conf.xml
@@ -218,6 +218,7 @@
   <tool file="config_vars.xml" />
   <tool file="expect_num_outputs.xml" />
   <tool file="text_repeat.xml" />
+  <tool file="integer_default.xml" />
 
   <tool file="multiple_versions_v01.xml" />
   <tool file="multiple_versions_v01galaxy6.xml" />