McLeish's side come into the game on the back of a 4-0 hammering of Albania, and can secure a play-off spot for the Euro 2020 with a win against Israel at Hampden Park.
The manager spoke to 'Sky Sports', remarking: "We always try to win so we have set ourselves up as have Israel and it should be a good game.
"We are at home so let's hope there is a response from the Tartan Army. We'd like the supporters to come to cheer the guys to victory.
"If we play to that level again then we have a good chance.
"We've always known what we had to do. The win gives us a fantastic fillip going into the game on Tuesday against a decent team.
"They played very well against us last time but we probably allowed them to. Now we have to stop and nullify the threat of Moanes Dabour, who has been scoring freely in the domestic league and the Europa League.
"We do have a job on our hands, a good challenge, and with that performance tonight the players have to be super confident but not overconfident."