The Swiss forward picked up a knock during a training session at Melwood on Monday and is being assessed by the club’s medical team.
Shaqiri will, however, sit out the third-round encounter with the League One club at Stadium MK.
Assistant manager Pepijn Lijnders confirmed to Liverpoolfc.com: “Yesterday towards the end of training, Shaq felt his calf stiffen up a little bit.
“He couldn’t continue and a scan showed he had a little tear there. We need to wait a couple of days, but for sure he is not in contention for tomorrow. He needs some rest, so he will not be involved.