Sinn Féin has 27 elected representatives in Stormont.
On Saturday, its assembly member Deirdre Hargey confirmed the party will support the PBP motion.
She said Givan’s actions had undermined public confidence in his ability to serve in office.
“The education minister’s decision to travel to Israel and use departmental resources to promote that trip is both inappropriate and unacceptable,” she said.
Hargey also attended Saturday’s rally.
She said Sinn Féin “will look at all options to hold the education minister to account”.
It seems Carroll has secured the support he needs as the Social Democratic and Labour Party (SDLP), with eight assembly members, also said it backs the motion.
The party said it is “willing to use our Opposition Day time on Monday 10 November to ensure it is debated as soon as possible”.
The no confidence motion would be non-binding – a type of debate that allows members to express their opinions on a topic but does not force action.