On March 12, UN rights chief Volker Turk urged Mr Faye not to enact the law.
The minister said he had also suspended his trips to France, Spain, and Niger.
The proposed legislation approved last week by cabinet was transmitted to the lawmakers on Tuesday.
The Republic of Senegal had defended the shutdowns, citing public order and national security concerns
“Let’s note that France has neither the capacity nor legitimacy to ensure Africa’s security and sovereignty,” Mr Sonko said.
Last June, he was handed a two-year prison sentence in relation to a charge of abuse of a 20-year-old woman.
The UN noted that Senegal had witnessed unprecedented mass protests across the country since March 2021.
A lawyer for the state said the government would appeal.
Mr Sonko, 48, is also popular among Senegal’s youth and was seen as a threat to the ruling party ahead of the 2024 election.
“Yesterday was difficult and violent. My main concern is that the school year could be cancelled,” he said.
