diff --git a/markdownify/__init__.py b/markdownify/__init__.py
index f9b5f9b..1e7b787 100644
--- a/markdownify/__init__.py
+++ b/markdownify/__init__.py
@@ -237,7 +237,7 @@ def convert_blockquote(self, el, text, convert_as_inline):
         if convert_as_inline:
             return text
 
-        return '\n' + (line_beginning_re.sub('> ', text) + '\n\n') if text else ''
+        return '\n' + (line_beginning_re.sub('> ', text.strip()) + '\n\n') if text else ''
 
     def convert_br(self, el, text, convert_as_inline):
         if convert_as_inline:
diff --git a/tests/test_conversions.py b/tests/test_conversions.py
index b03c874..ae56837 100644
--- a/tests/test_conversions.py
+++ b/tests/test_conversions.py
@@ -52,6 +52,12 @@ def test_b_spaces():
 
 def test_blockquote():
     assert md('<blockquote>Hello</blockquote>') == '\n> Hello\n\n'
+    assert md('<blockquote>\nHello\n</blockquote>') == '\n> Hello\n\n'
+
+
+def test_blockquote_with_nested_paragraph():
+    assert md('<blockquote><p>Hello</p></blockquote>') == '\n> Hello\n\n'
+    assert md('<blockquote><p>Hello</p><p>Hello again</p></blockquote>') == '\n> Hello\n> \n> Hello again\n\n'
 
 
 def test_blockquote_with_paragraph():
@@ -60,7 +66,7 @@ def test_blockquote_with_paragraph():
 
 def test_blockquote_nested():
     text = md('<blockquote>And she was like <blockquote>Hello</blockquote></blockquote>')
-    assert text == '\n> And she was like \n> > Hello\n> \n> \n\n'
+    assert text == '\n> And she was like \n> > Hello\n\n'
 
 
 def test_br():