The Manchester United duo have endured a difficult season under Jose Mourinho so far.
Both players were shining lights throughout Louis van Gaal's turbulent time at Old Trafford.
Shaw was in fine form before sustaining a horrific injury in September last year.
And Smalling was a rock at the back with the likes of Phil Jones and Marcos Rojo struggling under the Dutchman.
Jose Mourinho is growing tired of Luke Shaw and Chris Smalling
Man United stars bring out 4x4s to tackle farm track to and from training
Thu, February 2, 2017
Manchester United stars were forced to roll out their fleet of off-road vehicles as they made their way to and from training down a dirty farm track
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Manchester United stars are forced to take a farm track to and from training
Luke Shaw has struggled to impress Jose Mourinho this season
However, both have flitted in and out of the side under Mourinho this season.
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And the Manchester Evening News claim both players are now fighting to be at the club next term.
It is claimed Shaw must improve over the next few months with United willing to cash in on the former Southampton star should he continue to struggle.
Chris Smalling's injury record has frustrated Jose Mourinho
Mourinho would rather sell him than loan him out and, with his contract expiring in 2018, believes the club can sell him on for a reasonable fee.
MEN also say Shaw would interest several top clubs with Tottenham boss Mauricio Pochettino said to be willing to trade him for Danny Rose.
Smalling, meanwhile, won't be inundated with offers.
The report suggests Mourinho has grown tired of the defender's injury record and the club's interest in Victor Lindelof could signal the end of his time at the club.