Many variables must be considered. Power-wise, you PROBABLY have enough tractor for MOST mowing conditions. But that wasn't the question. Your concern is weight. Then there's design (brand) of mowers to consider. A 7' mower is an anomily. The difference between 5' and 6' is insignificant compared to the difference between 6' and 7'. I've owned in the last few years, a 6' Woods mower, a 7' Woods mower, a 6' Bush Hog mower, an 8' (twin spindle) Bush Hog mower and a 10' Bush Hog cutter (also twin spindle). The 8' and 10' mowers FELT lighter than the 7'er. That has to do with how far back the weight extends. The 10' Bush Hog was almost 600 lbs heavier, but the same tractor handled it MUCH better. (reason why I don't still have it? It was worn out and J.U.N.K. when I bought it used) When shopping for the new 7'er, I noticed some brands hitch points were different. Woods gives you more clearance between the leading edge of the mower deck and the tractors tires. ( I was told that's for clearance for their front chain guards) The end result is the mower extends back ANOTHER few inches over one that's closer coupled. In the Woods line, I've also noticed that there's a marked difference in weight of the tail wheel supporting structure. The 7' model (even with single tail wheel) is heavier than their 6' model. That few pounds makes a difference too. My 7'er has dual tailwheels, adding a few MORE pounds to an already tail-heavy mower.
Consider what sort of mowing you're doing. Extreme rough ground, hilly ground, or small areas where you'll be lifting the mower off the ground quite a bit might dictate how much weight is safe and how much is too much. When the mower is in the "down" position, it doesn't make that much difference. It's when you have it lifted, with tailwheel off the ground, that things get dicey. (Relatively) Flat ground is an advantage when packing around a big heavy cutter.
Another thing to consider. Do you trailer your tractor/mower? I stay with 6 and 7 foot cutters for transport width issues. I trailer mine to take care of several properties belonging to our family. (Lucky me...! Given responsibility of caring for property in a family trust) When loading the 7' mower (on a well weighted tractor I might add) it has a tendency to make the front wheels reach for the sky when topping the trailer ramps. Not exactly a re-assuring feeling sometimes. (Especially when the trailer is on a slightly out-of-level spot)
I'm just about to the point of discontinuing use of the 7' mower, in favor of the 6'ers exclusively. The 1' difference doesn't amount to that much time. Other option is buying a 10' pull-type, and leaving it at the site where I need to mow.