Top Democrat members are engaged in a tough in-house fight for the party's allotted cabinet posts, according to party sources.
The Palang Pacharath Party's (PPRP) proposed cabinet line-up, however, appears to have been settled.
Sontirat Sontijirawong, secretary-general of the PPRP, said on Friday that although the names for the party's cabinet line-up have been sent to the premier, there is more than one candidate for some positions.
"It is up to the prime minister to choose," said Mr Sontirat.
He said the parties in the coalition government have gradually sent their proposed cabinet ministers to the premier for him to consider.
"It is expected that we will see the faces of the cabinet members by July for sure," said Mr Sontirat.
The Democrat Party's executives held a meeting on Friday afternoon to discuss the names of their contenders to take the helm of five ministries.
The positions are the deputy ministers for transport, education, public health and interior as well as the social development and human security minister.
The other three cabinet settled earlier are a deputy premier role and the commerce minister, which would be taken up by Democrat leader Jurin Laksanavisit, and the agriculture minister, which would be held by secretary-general Chalermchai Sri-on.
Sources at the meeting said the party's members allied with the now-defunct People's Democratic Reform Committee (PDRC) came up with their own cabinet line-up in a bid to challenge the original list.
These PDRC-allied members were trying to seize some cabinet posts, the sources said.
However, the meeting later decided on seven names to take the camp's allotted cabinet positions.
They are Mr Jurin, Mr Chalermchai, Nipon Bunyamanee, Khunying Kalaya Sophonpanich, Chuti Krairiksh, Thaworn Senneam and Satit Pitutacha.
No conclusion had been made by press time as to which positions these politicians would take charge of.
Speculation has also emerged that Gen Prayut could become the new PPRP leader.
Responding to the rumours, Mr Sontirat said he knew nothing about it but it would be "a good thing" if Gen Prayut is party leader as he is a strong boss who would help solidify the party and move it forward.
"The party has not invited Gen Prayut to become the leader," said Mr Sontirat. "It is still premature to talk about it."
Mr Sontirat, referring to reported conflicts within the PPRP in relation to cabinet ministerial allocations, said it is "normal" for a party that gained more than 100 MPs.
"At the end of the day, we must end this through talks," Mr Sontirat said.
He said the PPRP has mapped out its party policy meant for the coalition government and next week other parties will be invited to discuss a common stance before handing it to the prime minister for consideration.
Deputy Prime Minister and Defence Minister Prawit Wongsuwon on Friday remained coy about whether would join the next government.
When asked about reports that he would opt out of the next cabinet, Gen Prawit said: "I don't know. Please wait and see."
He said Gen Prayut had not talked to him about the issue since the premier is now busy solving within the PPRP.
He said he knew nothing about reports that Gen Prayut would become the PPRP leader or that he himself would assume the leading role at the party's advisory body.
"There have been no talks about it yet," said Gen Prawit.
Core PPRP figure, Suriya Jungrungreangkit, refused to comment on reports Mr Sontirat was chosen as the energy minister instead of him. "This is a matter for Gen Prayut," he said.