Gabbiadini, 25, who has been in fine form at Southampton, will not add to his six worldwide caps after sustaining a groin injury in the English Premier League team's 2-1 defeat by Tottenham Hotspur on Sunday.
Spurs held on to their 17th league win of the season against Claude Puel's side, despite a late onslaught from the Saints.
James Ward-Prowse pulled one goal back in the second half but is what not quite enough in a match that perhaps could have ended differently if for a bit of luck to the visiting team.
Puel said: "Kane is an important player for them but they have other solutions with Son, Alli, Vincent Janssen and Christian Eriksen".
"It was hard to accept the second goal too, but the second half was better and also interesting because we made a good recovery".
"We didn't find a clinical edge to finish off our situations, yet I think a draw would have been normal for me".
Gabbiadini's injury came just before Dele Alli scored a penalty for Tottenham after being brought down by Steven Davis. We have taken two goals without real pressure from the opponent. "I can't see any reason why a referee would give a penalty if someone goes down like that, as Tadic did".
"We got the first goal quickly and it is disappointing to lose because I felt we deserved a draw against Tottenham".
"We still keep conceding a lot, so we have to stop this".