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.