The Drogs boss has said that he has no qualms about knocking Sligo Rovers off the top of the league, but stresses that the mindset among his players must be right
The Drogs moved to within a point of the Bit O' Red with their 1-0 victory over UCD last weekend and have picked up some crucial points away to clubs such as Derry City and St Patrick's Athletic during the course of the season.
Speaking to the Irish Independent, Cooke said that the mindset of his squad had to be right if the Drogs were to mount a serious title challenge.
"I have no fears of going top and I don't think the lads have, either," said Cooke.
"In the last few weeks we have gone to Derry, Pat's and Shels and won. They are all different types of games," he added.
"The mindset has to be right. We'll approach the Sligo match like all of the others."
Despite his optimism, however, the Drogheda boss said that the club's realistic ambitions did not involve winning the league.
"Realistically, our aim is still to finish in the top four," he said. "Sligo have a strong squad and Rovers and Pat's are still there. If we finish in the top four, I will be quite happy."
He continued: "The lads are enjoying it for what it is and there are no high fives in the dressing-room. Their feet are on the ground.
"Everyone was expecting us to be in the bottom half of the table, but we have shown what we can do this year.
"We got a lesson against UCD and that's no harm. It quantifies to the lads that we can't take our foot off the pedal. We're not a team that can go out and underestimate anyone," he concluded.
Mick Cooke's Drogheda United face league leaders Sligo Rovers on Saturday August 4 at the Showgrounds.