Today's 2-0 victory against Kilmarnock stretched the Light Blue's unbeaten run to five matches and in those consecutive wins the team has yet to lose a goal. Jim Jefferies' side came to Ibrox today on the back of a 5-2 win over Dundee United and are very much an in-form side this season.
But goals from Marvin Andrews and Nacho Novo secured the three points and McLeish admits he was delighted to keep the winning streak going, despite making several changes to the team.
The manager said: "We have been under a bit of pressure recently but the players have risen to the challenge and that speaks volumes for their mental toughness. I'm very pleased and proud of them.
"We were conscious that there would be tired legs after the midweek exertions so we freshened things up a bit.
"I didn't really see much that we needed to change and I think we played well today despite missing several chances in front of goal.
"Marvin came forward and showed his value in attack, as well as defence, by getting the first goal and I think he was immense today.
"It was brilliant to see him getting on the end of everything thrown into our box. Over the years we have lacked that presence but with Boumsong and Andrews at the back we have a great height advantage.
"Up front though the strikers played well and it was good to see Nacho popping up to make the game safe.
"It's always tricky when you are just the one goal ahead but Novo deserved his strike.
"It was his first competitive goal at Ibrox and you can see how much he loves the fans and vice versa, so they were glad to see him get his goal.
"He is over the moon and buzzing in the dressing room."
Zurab Khizanishvili and Paolo Vanoli were left out today due to minor muscle strains, but the manager explains his reasons for resting Chris Burke.
He added: "Chris Burke was really tired after the game on Thursday and we really don't want to burn him out so thought it was best to exclude him today.
"I've seen youngsters with great potential getting burned out before they have even established themselves and we don't want to risk that with Burkey."