The current European Parliament President, Martin Schulz, is thought to be keen to continue in the post beyond January 2017 when he is supposed to step down.
But, speaking in Parliament on Tuesday, Manfred Weber confirmed that his group will nominate a candidate for the post.
The German MEP said, "We are currently looking at setting a date for nominating a candidate."
Schulz was supposed to step down in January as part of a "gentlemen's agreement" between the EPP and S&D groups.
But some senior political figures, including the Socialist leader, Italian MEP Gianni Pittella, and European Commission President Jean-Claude Juncker, support his continued presidency.
Juncker publicly said recently this would provide "stability" for the EU.
There is opposition to all three EU presidencies being held by centre-right politicians.
European Council President Donald Tusk and Juncker are both members of parties affiliated to the EPP.
But others, including the EPP, want a new President to complete the second half of the current legislative term.
Any ambitions harboured by Schulz to continue hit a major obstacle last week when a parliamentary committee adopted an amendment authored by British MEP Ashley Fox, which states that "Members shall be permitted to serve a maximum of two terms in the office of President ...which may be served consecutively or with interruption."
If endorsed by a plenary vote, the move would limit European Parliament Presidents to two terms as a way of promoting "fresh leadership."
Fox said that introducing a limit would bring the presidency into line with the presidency of the European Council, which allows an individual to serve a maximum of two, two-and-a-half year terms.