Too bad, it is already prohibited by name. I have a semiauto 1927 A1 DeLuxe and it is still prohibited.
Royal Canadian Mounted Police - Canadian Firearms Program | Gendarmerie royale du Canada - Programme canadien des armes à feu
These are all prohited by name:
a. Thompson Model 1921;
b. Thompson Model 1927;
c. Thompson Model 1928;
d. Thompson Model M1;
e. Auto-Ordnance M27A-1;
f. Auto-Ordnance M27A-1 Deluxe;
g. Auto-Ordnance M1927A-3;
h. Auto-Ordnance M1927A-5;
i. Auto-Ordnance Thompson M1;
j. Commando Arms Mk I;
k. Commando Arms Mk II;
l. Commando Arms Mk III;
m. Commando Arms Mk 9;
n. Commando Arms Mk 45.