Chris Shuker's second-half strike ensured Tranmere saw off Accrington in their FA Cup replay and set up a second-round clash with Peterborough.
Both teams struggled to create chances in what was a tentative first half.
The home side broke the deadlock when Shuker, put through by Steven Jennings, curled the ball beyond Kenny Arthur for his fifth goal of the season.
A minute prior to the midfielder's goal Accrington had hit the post via a James Ryan free-kick.
Tranmere: Coyne, Shotton, Chorley, Kay, Taylor, Moore, Edds (Sonko 46), Jennings, Barnett, Shuker (Greenacre 73), Savage. Subs Not Used: Achterberg, Antwi, Holmes, Cresswell, Henry.
Booked: Kay, Jennings.
Goals: Shuker 69.
Accrington Stanley: Arthur, Williams (Murdock 8), Edwards, Charnock, King, Ryan, John Mullin, Procter, Griffiths, Miles (Richardson 66), Paul Mullin, Murdock (Smith 82). Subs Not Used: Speare, Burey, Bell, Turner.
Booked: John Mullin.
Att: 2,560
Ref: Jon Moss (W Yorkshire).
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