The Dons ended the first round of fixtures above their Lanarkshire opponents and early-season leaders Inverness after winning 2-0 at in-form Hibernian on Saturday.
That has whetted the appetitie of the Dons fans, more than 2,000 of whom were at Easter Road on Saturday, for the quarter-final at Fir Park.
Aberdeen ended a 13-game run without a league win over Motherwell in August and have given their supporters hope they can banish a similarly unwanted sequence of four consecutive bottom-six finishes.
Many Dons fans will not be content until their team wins their first trophy since 1995 but Robson is putting any external demands out of his head and focusing on satisfying the requirements of Derek McInnes.
The former Celtic player said: "The manager has the mentality, not of winning every week, but being at our best every week, especially work-rate and organisation-wise.
"He doesn't expect you to be terrific every week but he demands you to be working hard for your team-mates and giving everything you've got, and I think you can see that in all the players. It makes an awful big difference.
"Yes, there's an expectation level here at Aberdeen. There's been a lot of good players and managers here over the years. The fans expect us to do well and we're doing that at the minute but there's a long way to go.
"Everyone knows how hard it is to go to Motherwell and get a win so the feet are on the ground. We came in after the game on Saturday when the boys played terrifically well and the manager says we should enjoy it for the next 20 minutes and move on, because if you want to be a top player at a top club and win things, that's what needs to happen.
"And that drive and determination is in that dressing room, so let's hope we can keep it up."
Aberdeen were in third place at this stage last season and still finished outside the top half so Robson is refusing to read too much into their opening 11 matches.
"Has there been progress? Maybe a wee bit but there is a lot to be done still," he said.
"You win a few games and everybody thinks you are going to finish top or second or top or third, you lose a few and we are in a relegation battle.
"It's about trying to keep an even keel, just keep working and doing what we're doing. The manager is terrifically organised and keeps our feet on the ground."