Kevin Gallacher would be happy with either man getting the job.
Bowyer has been in the job since May 2013 and helped guide the club to decent finishes in the league in the last two seasons but has finally faced the chop at Ewood Park - after previously working as a caretaker boss at the club on two occasions.
Paul Lambert has become the outright favourite to get the job at Ewood Park, but former Rovers striker Kevin Gallacher can also see two other men getting the call.
He told the BBC: "Moyes knows the managing director very well, so from that point of view there is a very close link there.
"I have seen what Tim Sherwood tried to do at Tottenham and Aston Villa and either he or possibly Paul Lambert, who are vibrant managers and can help the young players, would be my choice."
Of course Moyes is available after being sacked by Real Sociedad and he has previously worked in the North West with Preston, Everton and Manchester United.
Sherwood would, however, be a popular choice. He may have struggled this season at Aston Villa but the charismatic coach has good history with the Ewood Park faithful. He captained the Blackburn Rovers side that won the Premier League in 1995 and would be a welcome recruit.
It does seem as though Lambert will get the job. But what is clear is that Blackburn, despite their recent struggles, remains one of the most sought-after positions in English football.