Onyemaechi Mrakpor, 49, and a member of the lower house, said she was attacked for overtaking the motorcade of Peter Ezenwa Ekpendu on Wednesday.
Mr Ekpendu reportedly watched as the lawmaker was assaulted by his aides within the premises of the parliament.
Mrs Mrakpor was in tears when she reported the incident, one MP said.
"This is the time we need to rally behind her not just as a member but as a woman," MP Femi Gbajabiamila said, The Herald newspaper reported.
It is not clear when Mr Ekpendu, who has not yet reacted to the report, will face the MPs.
Nigerian officials often travel in large convoys, forcing other motorists to make way. There have been frequent accusations that those who refuse to pull over are assaulted.
All heads of security agencies in the parliament have also been summoned to explain why they failed to protect the lawmaker.