Murty's men earned a 0-0 draw at Parkhead and have been tipped to get a step further and defeat Brendan Rodgers' side on Sunday in the next derby of the season.
But speaking ahead of this Sunday's Ladbrokes Premiership clash with Brendan Rodgers' treble-chasers, defender Bates said: "We'd won against Falkirk and were buzzing to be in the next round".
"If I keep carrying on like I am, other things like Scotland call-ups will take care of themselves". Obviously they're always big matches and exciting to play in. And I think that's all that was.
"I don't think it's disrespectful, I don't think it's overconfidence, it's our guys relishing the opportunity to play in a massive, massive game for this club".
"If Rangers win it, they are back challenging for the league again".
Sunderland must be anxious about losing players in the summer window with a drop down to League One looking more likely than not right now. That's completely different. They need to win it to get a bit closer to us.
On a personal level Murty is looking to make it three games unbeaten against the Scottish champions.
Manager Graeme Murty said: "We are delighted that Alfredo has committed his future to the club".
"I'm just going game by game". The second time they were talking about the managerial situation. We played a practice game this week and he looked very, very strong in it. "He'll come on and he strikes me as the sort of person that will absolutely thrive upon the Old Firm atmosphere".
Looking at his stats, of course, it's hard to say exactly what he would bring as his numbers are not particularly special but we have to remember that he is playing for a team that - offensive wise - is now very short. "The players clearly believe in what he's doing and he's got some really good results".