The ruling AK Party has been hoping for support in parliament from the Nationalist Movement Party (MHP) to change the constitution and introduce an executive presidential system, or as an interim measure, a system in which the head of state is allowed to retain his party ties.
Speaking in parliament, Bahceli said he was strongly opposed to either system, Reuters reported.
The MHP is embroiled in a leadership battle after several hundred of its members launched a bid to oust Bahceli, its leader for much of the last two decades.
Turkish President Recep Tayyip Erdogan on Monday confirmed Binali Yildirim, a close ally for two decades and a co-founder of the ruling AK Party, as his new prime minister, taking a big step toward the stronger presidential powers he has long sought.