diff --git a/tests/test_dump.py b/tests/test_dump.py
index ee63cda..02a191c 100644
--- a/tests/test_dump.py
+++ b/tests/test_dump.py
@@ -1,10 +1,32 @@
 import pytest
+import jsonschema
 from marshmallow import Schema, fields, validate
 
 from marshmallow_jsonschema import JSONSchema, UnsupportedValueError
+
 from . import UserSchema, validate_and_dump
 
 
+class TestIntegerField:
+    class Foo(Schema):
+        bar = fields.Integer()
+
+    def test_schema_type(self):
+        schema = JSONSchema().dump(self.Foo())
+        bar_property = schema["definitions"]["Foo"]["properties"]["bar"]
+
+        assert bar_property["type"] == "integer"
+        assert "format" not in bar_property
+
+    def test_validation(self):
+        schema = JSONSchema().dump(self.Foo())
+
+        jsonschema.validate({"bar": 1}, schema)
+
+        with pytest.raises(jsonschema.ValidationError):
+            jsonschema.validate({"bar": 1.1}, schema)
+
+
 def test_dump_schema():
     schema = UserSchema()