Shaw was named in Tuchel’s 55-man provisional squad and there had been a clamour for his inclusion.
But, with Newcastle’s Dan Burn and Manchester City’s Nico O’Reilly in line to be called-up, Shaw is expected to miss out.
AC Milan defender Fikayo Tomori is also expected to be left out, though Arsenal winger Noni Madueke is expected to make the cut – joining team-mates Bukayo Saka and Declan Rice.
Maguire and Tomori’s omission could open the door to John Stones’ inclusion in the squad, despite his injury-disrupted campaign.
Tuchel views Stones as a key player but has been concerned about the departing Manchester City man’s fitness.
Chelsea defender Levi Colwill, who has recently returned from a long-term knee injury, is also hoping for a call-up after being included in the preliminary squad.
There is an expectation that Brentford midfielder Jordan Henderson, who has been a mainstay under Tuchel, will keep his place.
The World Cup, which takes place across the US, Mexico and Canada, starts on 11 June.
