The university's union claims the 300 new academic appointments were made under pressure, to further the Houthis' political agenda.
Syrian refugees share their vocational skills with Jordanian youth through a programme that benefits both sides and builds social cohesion.
Some of the Iraqi and Syrian refugee students enrolled in the new school and vocational training centre have not attended school for years.
The project aims to provide higher education opportunities to Syrian refugees as well as to Lebanese youth in their host communities.
The university's decision to dismiss faculty and staff who are unable to go to work is widely seen as being orchestrated by the Houthis.
Some 31% of Yemeni girls are not in school, and the continuing violence is exacerbating the situation, according to UNICEF.
In a recent report, the agency said the teachers' salary crisis continues as close to 75% of teachers in Yemen have not been paid in nearly a year.
The agency has been smoothing the path for refugee children re-entering the school system and planning for the restoration of ancient sites.
By easing up on the required paperwork, the kingdom is allowing thousands more refugee children to attend its public schools.
Children in Sanaa and in much of northern Yemen are being deprived of education due to a continued strike over the suspension of teachers' salaries.