Welsh Government officials threatened to scupper National Library of Wales funding in a dispute about a Welsh-language job advert, emails show.
The library had gone against the government's wishes when it advertised for a Welsh-speaking chief executive.
Partially redacted emails reveal government officials discussed using funding for the National Broadcast Archive as leverage against the move.
The Welsh Government said matters with the library had been resolved.
But in February he said "outstanding issues and concerns" had been resolved.
One of the emails, obtained under the Freedom of Information Act, reveals a Welsh Government official wrote that if the library proceeded with the Welsh essential requirement "it could make things more difficult in terms of other National Library issues on which they are hoping to secure our support (e.g. the Broadcast Archive)".
The BBC revealed on Wednesday that Lord Elis-Thomas was adamant there should be no Welsh language requirement in the job description.
Bethan Sayed AM, chairwoman of the assembly's culture committee, said she believed Lord Elis-Thomas was behind the discussion to use funding to "muddy the waters".
Lord Elis-Thomas has declined to comment.
"There was an implication there that if the job application process didn't go his way, there may be difficulties ahead in relation to the difficulties for the archive," Ms Sayed told BBC Wales' Newyddion9 news programme.
"The two issue are very, very separate."
Ms Sayed said she would ask the committee to write to the culture minister or call him to answer questions.