The case is against the Speaker, clerk of the National Assembly and the Attorney General and Minister of Justice who represents the government.
Ms. Jaiteh was one of five people nominated into the National Assembly by the President Barrow after the 2017 legislative elections.
The decision to revoke her appointment had divided opinion in the National Assembly and outside of it.
Jaiteh on Wednesday filed an injunction at the Supreme Court against the decision.
Amie Drammeh, the principal secretary at the Supreme Court confirmed that the filling process for the case which began on Tuesday has been completed.
According to reliable judicial sources associated with the case, the injunction was to prevent both Ms. Jaiteh’s sacking and allow her to continue her work in the National Assembly until the court issues a ruling on the issue.
She is asking the court to declare the revocation of her appointment as unconstitutional, and stop Foday Gassama from taking her place in the National Assembly.
The Office of the President on Tuesday confirmed Gassama’s appointment as a nominated MP.
Ms. Jaiteh is also seeking to prevent both the clerk of the National Assembly, Momodou Ceesay and Speaker Mariam Denton from swearing in Mr. Gassama pending the outcome of the case.
Should the court give the plea for an injunction any merit, Barrow’s choice will not be sworn-in until the Supreme Court decides on the issue.
The Supreme Court sits on Monday, March 11, and Ms/ Jaiteh’s case may come up for mention.
About two weeks ago, Barrow sent a letter to the National Assembly through the Secretary General and head of the civil service, Ebrima Camara revoking her nomination.
The letter which was devoid of an official letterhead did not explain the reason for her removal or referred to the relevant constitutional provision he relied on for the decision.
Gambia’s constitution clearly explains how a lawmaker may be nominated to the National Assembly but law experts say it is silent on how their appointment may be revoked.
Last week, The Gambia Bar Association weighed in, saying it is illegal for the president to fire a nominated lawmaker.