The Swedish striker picked up the injury during their Europa League quarter-final clash against Anderlecht last month, prompting fears it could lead the 35 year-old to call time on his career.
His agent Mino Raiola released a statement on Monday clarifying this was not the case.
"[Zlatan] will make a full recovery AND HAS NOT SUFFERED A CAREER-ENDING INJURY." the statement said.
Ibrahimovic reaffirmed his desire to get back on the field, taking to Instagram to share a determined message about his recovery.
"Fixed, done and stronger," he posted. "Once again thank you for the support.
"We will enjoy my game together soon."
Ibrahimovic has had a sensational first season with the Red Devils, scoring 28 goals across all competitions following his move from Paris Saint-Germain.
United sit fifth in the Premier League and face Celta Vigo in the semi-finals of the Europa League on Friday morning (AEST).