Oracle duplicate row N times where N is a column

I'm new to Oracle and I'm trying to do something a little unusual. Given this table and data I need to select each row, and duplicate ones where DupCount is greater than 1.

create table TestTable
(
  Name     VARCHAR(10),
  DupCount NUMBER
)

INSERT INTO TestTable VALUES ('Jane', 1);
INSERT INTO TestTable VALUES ('Mark', 2);
INSERT INTO TestTable VALUES ('Steve', 1);
INSERT INTO TestTable VALUES ('Jeff', 3);

Desired Results:

Name        DupCount
---------   -----------
Jane        1
Mark        2
Mark        2
Steve       1
Jeff        3
Jeff        3
Jeff        3

If this isn't possible via a single select statement any help with a stored procedure would be greatly appreciated.