Celtic assistant Johan Mjallby has set his sights on winning each of their remaining games after the Hoops thumped Kilmarnock 4-0.
Celtic are on course for the double after beating Aberdeen 4-0 on Sunday to book their place in the Scottish Cup final.
And they returned to league action in style on Wednesday night as an early brace by Kris Commons set them on course for a fifth straight victory since losing the League Cup final to Rangers.
Gary Hooper added a third goal just before the break and Anthony Stokes completed the scoring as Celtic moved a point behind league leaders Rangers ahead of Easter Sunday's title showdown at Ibrox.
Manager Neil Lennon left press duties to his number two Mjallby after the parcel bomb scare that has rocked Scottish football.
And although Celtic have a game in hand on their Old Firm rivals, the Swede reckons they must maintain the winning habit.
"The pressure is always on and we know in the run-in we need to win more or less every game," he said.
"We played really well tonight and well done to the players, they turned up here.
"I think we have been strong away from home but Kilmarnock have been really good this season," Mjallby added.
"But in the end we played really well and everyone is focused on the run-in."
Killie's caretaker boss Kenny Shiels admitted Celtic were too hot to handle but was happy with his side's second-half effort after Killie errors gifted Celtic possession for each of their three first-half goals.
"I thought that Celtic had got their momentum back on Sunday," he said.
"When they play like this they are unplayable and they were better than us tonight.
"The second half we salvaged a little bit of pride and we worked hard to get hold of the ball.
"We made a few basic mistakes and it was a very, very tough assignment for us. We came out with bits and pieces but I'm still not happy with the goals we conceded."