The Bosnian is yet to agree a new deal at the Britannia Stadium so the Potters may look to sell while they still can.
Begovic only has a year left on his current deal and is yet to agree to an extension, with it being mooted that he may be looking for a step up to a bigger club.
The club to offer him that may be Chelsea, who look set to sell Petr Cech to Arsenal later this week - per the Daily Mail - and will need a replacement for him, with Begovic emerging as potential cover. They would, however, have to convince him that he would get sufficient game time in west London before he would agree to the move.
The Potters will know that Begovic is a very saleable asset at this moment in time having been a consistent performer in the Premier League for several years, and there is likely a number of clubs who would look to sign him besides Chelsea.
And while they would be loathe to lose him, a deal involving cash plus Moses could be viewed as too good to pass up, as manager Mark Hughes is said to have identified the winger as a priority signing, according to the Telegraph report.
The Nigeria international impressed while on loan at the Britannia last season, scoring four goals in 23 appearances before suffering a hamstring injury in April. He is surplus to requirements at Stamford Bridge, though, meaning a move is expected for him this summer as well.
The deal, then, could prove beneficial for both sides, although Stoke may feel they can ask for more for their star man than the £8million currently being suggested.