Rovers drew 0-0 with Walsall on Tuesday, before beating the League Two side on penalties and progressing to the next round.
The draw last night resulted in a trip to Stoke for Richie Wellens’ team - a fixture that will be played the week commencing August 23.
Doncaster have won twice in their last five meetings with the Potters (D1 L2) and will be hoping to make it three in their favour as they travel to the bet365 Stadium.
The two sides last faced each other in a 2-1 win for Stoke City in the FA Cup in 2016.
We gathered the best of today’s League One transfer gossip below...
5. Bristol Rovers reject Imps bid for striker
Bristol Rovers have rejected a bid for striker Brandon Hanlan from Lincoln City. The offer was understood to be below the £150,000 fee which the Gas must pay Gillingham following a tribunal earlier this summer. (Bristol Post) Photo: Dan Mullan
6. Lincoln City reportedly pushing for deal for Scottish defender
Michael Appleton has confirmed that the Imps are “aware” of Dundee United left-back Jamie Robson and are reportedly pushing for a six-figure deal for the 23-year-old. Sunderland are also thought to be keen on his signature. (The 72) Photo: Steve Welsh
7. Former Doncaster youngster joins Championship club
Peterborough United have signed 18-year-old Ethan Bojang following his departure from Doncaster Rovers. Posh’s academy manager Kieran Scarff admitted he was surprised the League One club let him go. (Club website) Photo: George Wood
8. Sunderland have to “offer bigger cash or move on” for Championship defender
Despite signing a right-back, Nottingham Forest are still reportedly set to keep Jordan Gabriel. Sunderland and Blackpool will have to “offer bigger cash or move on” as it stands. (Alan Nixon - @reluctantnicko) Photo: Catherine Ivill