Both players have been instrumental in the club's recent run and Sturrock is keeping his fingers crossed that they will be available to help the club out of their relegation struggle.
Danish defender Bischoff, out of contract with Manchester City in the summer, has been immense at the heart of the defence - and with Richard Wood still a number of weeks away from a return to fitness, it is essential that the club keep him.
Carson meanwhile was man of the match against Wolves at the weekend and he has already made it clear that he wants to stay at Hillsborough from Liverpool for more than his initial month spell.
And now that Liverpool's European commitments are now over, Sturrock is keeping his fingers crossed that Rafa Benitez's goalkeepers keep injury free.
Meanwhile it has been confirmed that Peter Gilbert will be out for the rest of the season so hopefully John Hills can stay fit - until Wood returns for left-sided cover.