Stand-off Tomkins, 20, and loose forward O’Loughlin join up with the squad following Wigan’s exit from the play-offs at the weekend, and their inclusion takes the total number in the squad preparing for the Four Nations to 22.
Smith will name his squads for the match against Wales in Bridgend on Saturday October 17 and the Gillette Four Nations at a media conference next Monday, October 12.
England kick off the Gillette Four Nations by playing France at Keepmoat Stadium, Doncaster, on Friday October 23 and face Australia at DW Stadium, Wigan on Saturday October 31 before playing New Zealand at Galpharm Stadium, Huddersfield, on Saturday November 7.
Before then an England team selected from players who are not involved in this weekend’s engage Super League Grand Final between Leeds Rhinos and St Helens will play Wales in the Gillette Fusion International at Brewery Field, Bridgend.
The England train-on squad in full, with their club and community club where they played as juniors in brackets, is as follows:
Chris Bridge (Warrington Wolves, Waterhead)
Shaun Briscoe (Hull Kingston Rovers, Wigan St Patricks)
Tom Briscoe (Hull FC, Featherstone Lions)
Sam Burgess (Bradford Bulls, Dewsbury Moor)
Garreth Carvell (Warrington Wolves, Stanningley)
Tony Clubb (Harlequins, Greenwich Admirals)
Eorl Crabtree (Huddersfield Giants, Huddersfield YMCA)
Peter Fox (Hull Kingston Rovers, York Acorn)
Gareth Ellis (Wests Tigers, Castleford Lock Lane)
Ben Harrison (Warrington Wolves, Barrow Island)
Mickey Higham (Warrington Wolves, Leigh Miners)
Louie McCarthy-Scarsbrook (Harlequins, Greenwich Admirals)
Scott Moore (Huddersfield Giants, Blackbrook)
Adrian Morley (Warrington Wolves, Eccles)
Richard Myler (Salford City Reds, Halton West Bank)
Sean O’Loughlin (Wigan Warriors, Wigan St Pats)
Stefan Ratchford (Salford City Reds, Wigan St Patricks)
Michael Shenton (Castleford Tigers, Upton)
Paul Sykes (Bradford Bulls, Thornhill Trojans)
Sam Tomkins (Wigan Warriors, Wigan St Pats)
Danny Tickle (Hull FC, Parkside Golborne)
Ben Westwood (Warrington Wolves, Normanton Knights)