Michael Vick -- Hopes to Sign with Steelers By 'End of Day'

Things are moving pretty quickly between Michael Vick and the Pittsburgh Steelers ... with sources close to Vick telling TMZ Sports the QB hopes both sides can reach a deal by "the end of the day."

Our Vick sources tell us ... the QB had received "multiple offers" from NFL teams, including the Steelers -- but he really liked what Pittsburgh is bringing to the table.

Vick flew out to the Steel City this morning to meet with the team.