Constitutional amendment bills submitted by several parties are expected to be discussed during a joint sitting in parliament on July 7 and 8, House Speaker Sophon Zaram says.
Speaking at parliament on Friday, Mr Sophon said all of the bills had been placed on the House agenda following discussions among the government, opposition and Senate whips.
"There are still many constitutional procedures ahead, and many people are watching to see whether a new constitution can ultimately be achieved," he said.
"If the committee can complete its work quickly, the entire process will move forward more rapidly."
Asked about tensions between members of the House and the Senate amid accusations about the involvement of the so-called "blue regime", a reference to the ruling Bhumjaithai Party, Mr Sophon described the issue as part of a normal democratic debate.
Critics say that such influence could undermine the charter rewrite bid.
Mr Sophon said the public had already expressed support for constitutional reform through a referendum on Feb 8 and that all sides should respect that mandate.
On Friday, Abhisit Vejjajiva, party-list MP and leader of the Democrat Party, said his party had completed collecting signatures to submit two constitutional amendment bills.
The first seeks to pave the way for drafting an entirely new constitution. The proposal takes into account both the rulings of the Constitutional Court and concerns surrounding the revision of sensitive provisions, particularly Chapters 1 and 2 of the current constitution.
Chapter 1 defines Thailand as a single, indivisible kingdom with a democratic regime and establishes, while Chapter 2 outlines royal prerogatives.
Mr Abhisit said the party was not arguing that both chapters were untouchable, but maintained that any attempt to amend those sections should be considered separately rather than bundled together with broader constitutional changes.
