Tauranga MP Simon Bridges said he would not consider the role of National Party leader even if Bill English was to step down.
Mr English said he needed time to reconsider his options following New Zealand First leader Winston Peters' announcement he was forming a coalition government with Labour and the Greens.
News reports suggested Mr Bridges would be a likely candidate to step up to the role should Mr English choose to step down. But local National MPs have quashed the idea Mr English would give up the role.
Mr Bridges said he had not talked to Mr English since the announcement and said he would not consider the role as party leader. "That is not in my sights," he said.
"I hope he stays on because he had a strong mandate at the election with nearly one in two voting for his leadership. I think people were impressed with what they saw.
"I think he is the best person for the job to lead 56 National MPs."
Bay of Plenty MP Todd Muller commended Mr English's campaign so far and said there was no desire for the man to step down as leader of the party. "My hope is that he does not step down."
Labour's Waiariki MP Tamati Coffey said Mr Bridges would have a tough battle for the role if he did ever decide to take on the party leadership.
"There are a few contenders who I can imagine would want that top spot," he said. "I think if he was to put his hand up, he would be up against the likes of Judith Collins, Amy Adams, Jonathon Coleman and Paula Bennett."
New Zealand First MP Clayton Mitchell did not wish to comment.