The Spain international's future has been the subject of debate for several months and it is understood his representatives have been in dialogue with Barcelona.
Although there has yet to be any contact made between the two clubs, Liverpool have identified a number of options should the Catalans make a move for Reina, who would find difficult to turn down a return to his former club.
However, despite reports in Bosnia claiming a deal has already been agreed for Begovic to move to Anfield should Reina leave Press Association Sport understands that is not the case.
Liverpool are considering the 25-year-old - who would command a significant fee from the Potters - as a viable option but he is not top of manager Brendan Rodgers' shortlist of candidates.
Any sale of Reina would generate upwards of £10million and would get a significant earner off the wage bill, but the club are in no rush to do a deal.
The goalkeeper himself has insisted he is happy at Anfield despite continued speculation about his likely departure this summer.
Rodgers is moving forward on his plans for summer strengthening by looking at bringing in Manchester City's out-of-contract centre-back Kolo Toure.
The Reds boss needs to fill the hole left by the retirement of Jamie Carragher and the 32-year-old Ivory Coast international is seen as a potential short-term fix.
However, once again Rodgers has other options he wants to pursue at centre-back and a deal for Toure is far from done.
Rodgers will also look to move on a number of players and is waiting to see whether striker Andy Carroll wants to join West Ham.
The 24-year-old, recently recalled to the England squad, spent this season on loan at Upton Park and has spoken of how much he enjoyed his spell there.
Liverpool have reportedly agreed a fee of £15million, with add-ons, with West Ham several weeks ago.
However, the transfer will come down to whether the player wants to make the move permanent - and take a significant wage cut - in order to get regular football as he is not part of Rodgers' planss.