Akram, 47, proposed to Thompson, 30, at his home, the newspaper said, adding the athlete's bride-to-be has converted to Islam and will relocate to Pakistan.
No other details about the couple's betrothal were immediately available and no wedding date has been announced.
Akram's first wife, Huma, died in 2009.
Notable deaths of 2014 [PHOTOS]
Ringo Starr signed up for Sketchers ad campaign