The Cally boss praised his side's display against the Hoops, but said that he will not reassess his ambitions until the threat of relegation has been averted.
"We rode our luck a couple of times in the first half but we created a few chances ourselves. Then we got our goal, maybe too early," he told BBC Sport.
"I like a goal in the 85th minute against Celtic. But we coped well, changed our shape, played on the break and could have nicked another one.
"We want to win as many games as we can as quickly as we can to make sure we stay in the Premiership, then we'll set about reassessing out targets."
Cally are top of the table with 10 points from their four matches played.