diff --git a/markdownify/__init__.py b/markdownify/__init__.py
index 47485f5..3d67a49 100644
--- a/markdownify/__init__.py
+++ b/markdownify/__init__.py
@@ -96,11 +96,14 @@ class MarkdownConverter(object):
 
     def process_tag(self, node, convert_as_inline, children_only=False):
         text = ''
-        # markdown headings can't include block elements (elements w/newlines)
+
+        # markdown headings or cells can't include
+        # block elements (elements w/newlines)
         isHeading = html_heading_re.match(node.name) is not None
+        isCell = node.name in ['td', 'th']
         convert_children_as_inline = convert_as_inline
 
-        if not children_only and isHeading:
+        if not children_only and (isHeading or isCell):
             convert_children_as_inline = True
 
         # Remove whitespace-only textnodes in purely nested nodes
@@ -200,8 +203,6 @@ class MarkdownConverter(object):
         prefix, suffix, text = chomp(text)
         if not text:
             return ''
-        if convert_as_inline:
-            return text
         href = el.get('href')
         title = el.get('title')
         # For the replacement see #29: text nodes underscores are escaped
diff --git a/setup.py b/setup.py
index c310552..467c1fa 100644
--- a/setup.py
+++ b/setup.py
@@ -10,7 +10,7 @@ read = lambda filepath: codecs.open(filepath, 'r', 'utf-8').read()
 pkgmeta = {
     '__title__': 'markdownify',
     '__author__': 'Matthew Tretter',
-    '__version__': '0.9.2',
+    '__version__': '0.9.3',
 }
 
 
diff --git a/tests/test_tables.py b/tests/test_tables.py
index e481e92..27d4403 100644
--- a/tests/test_tables.py
+++ b/tests/test_tables.py
@@ -39,6 +39,25 @@ table_with_html_content = """<table>
 </table>"""
 
 
+table_with_paragraphs = """<table>
+    <tr>
+        <th>Firstname</th>
+        <th><p>Lastname</p></th>
+        <th>Age</th>
+    </tr>
+    <tr>
+        <td><p>Jill</p></td>
+        <td><p>Smith</p></td>
+        <td><p>50</p></td>
+    </tr>
+    <tr>
+        <td>Eve</td>
+        <td>Jackson</td>
+        <td>94</td>
+    </tr>
+</table>"""
+
+
 table_with_header_column = """<table>
     <tr>
         <th>Firstname</th>
@@ -124,6 +143,7 @@ table_missing_head = """<table>
 def test_table():
     assert md(table) == '\n\n| Firstname | Lastname | Age |\n| --- | --- | --- |\n| Jill | Smith | 50 |\n| Eve | Jackson | 94 |\n\n'
     assert md(table_with_html_content) == '\n\n| Firstname | Lastname | Age |\n| --- | --- | --- |\n| **Jill** | *Smith* | [50](#) |\n| Eve | Jackson | 94 |\n\n'
+    assert md(table_with_paragraphs) == '\n\n| Firstname | Lastname | Age |\n| --- | --- | --- |\n| Jill | Smith | 50 |\n| Eve | Jackson | 94 |\n\n'
     assert md(table_with_header_column) == '\n\n| Firstname | Lastname | Age |\n| --- | --- | --- |\n| Jill | Smith | 50 |\n| Eve | Jackson | 94 |\n\n'
     assert md(table_head_body) == '\n\n| Firstname | Lastname | Age |\n| --- | --- | --- |\n| Jill | Smith | 50 |\n| Eve | Jackson | 94 |\n\n'
     assert md(table_missing_text) == '\n\n|  | Lastname | Age |\n| --- | --- | --- |\n| Jill |  | 50 |\n| Eve | Jackson | 94 |\n\n'