Mr Nemra was only inaugurated a week ago, after winning the presidency by a one-vote margin in the 33-seat parliament earlier this month.
The opposition won a vote in parliament today for the motion to be put tomorrow.
Our correspondent in Majuro says a motion has never been filed so soon after an inauguration, and it reflects the lack of a clear majority and shifting coalitions, rather than poor performance by Mr Nemra.
The parliament is scheduled to vote on the motion at 10am