I think it'll fit well enough. this is my 2015 MacBook in it, laptop measurements are:
Height: 0.14–0.52 inch (0.35–1.31 cm)
Width: 11.04 inches (28.05 cm)
Depth: 7.74 inches (19.65 cm)
Stuffed it with clutch wallet, 7 oz. hand creme, keys, pens, glasses case, stuff pouch, and trade paper book in lieu of AirPods or phone since I am holding the latter to take the pic! In fact I could stuff a light Patagonia nanopuff jacket in it too although then the bag is all puffy. and other small stuff would still fit around the edges.
The flap has a bit of give in it so seems like even with .93 in more in width that yours has, it would still fit. A bit tighter with a soft case on it, but still. seems ok. (this below pic is with just laptop in it.)
P.S. can't speak to suede strap or cache, don't have either.