The 35-year-old midfielder announced this week that he would depart Rovers at the culmination of his contract this summer after making over 370 appearances in two spells with the east Lancashire side.
Dunn revealed in an interview with BBC Radio Lancashire that he would love to represent his “second team” Accrington before hanging up his boots and that opportunity may be just around the corner.
Stanley boss John Coleman revealed he will discuss a deal with Dunn soon and would also offer him an avenue into coaching at the Store First Stadium.
“We’re hoping to speak to him this week,” Coleman told BBC Radio Lancashire.
“David’s made no secret of the fact he’d love to finish his career at Accrington.
“Whether we can eke a couple of years out of him…that would be great for us. He’s still a fantastic footballer and a great lad as well.
“It would give him a great step into management and we would take him onto the coaching staff. We’ve got to speak to him first and see how that pans out.
“It’s not a bombshell to us, we have spoken to him before about it. It’s not come totally out of the blue.
“We’ll have to wait and see. If it’s right for him and it’s right for us, we’ll let it happen. If it’s not, we’ll wish him all the best wherever he goes.
“Players who are coming to the end of their career don’t really have an affinity to a club. He will. You’d think you’d get the very, very best out of him. Just knowing him as a person, you’d expect that anyway, but I think even more so if it was for Accrington.”
Dunn could make his farewell appearance for Blackburn against Ipswich this Saturday.