There was intense speculation regarding Bruce's future at St James' Park following the takeover of Newcastle by Saudi-backed owners, and he left the club this week.
The Sun says Ferguson told Bruce to remain in the job until a decision was made.
Bruce played under Ferguson at United between 1987 and 1996 and enjoyed much success, winning the league and the FA Cup three times each as well as experiencing glory in the League Cup and the European Cup Winners' Cup.
During just over two years at Newcastle, Bruce was in charge for 97 games, winning 28, drawing 28 and losing 41.
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