Personally, I've never experienced that problem with Hoover Convertible brush roll. But I'm posting all of the help I can offer for your situation as Hoover Convertibles are great, pleasant to use cleaners!!
You may be completely aware of some of the information I'm posting below for each items install, but to be thorough and helpful as I'm unaware of your knowledge, I've included details.
If it was me in your situation in trouble shooting, I would say to completely disassemble the brush roll.
Check overall condition of brush roll housing for bent out of place metal, heavy rust, busted up ends, etc.
Clean brushes and check that the plastic on the brush strips is positioned properly into slots utilizing the full slot end to end properly.
Clean and check the brush roll caps that the bearings and parts sit inside. Make sure they are clean and in good repair. They could be getting worn on ends from various sands and dirt and friction over years from end caps and dirt rubbing on them. It's amazing what hair and baking soda can do a brush roll, wearing things down and throwing alignment off.
How are the 2 end washers? Make sure both end washers are installed properly with middle facing up towards bearing, that will sit on top of it when re-installed, and ends down towards center of brush roll upon reinstall.
The rod can be scoured with a green scotch bright pad and some cleanser to remove rust build up on main rod and ends. Clean threaded ends are crucial for ensuring proper installation of end caps. You can roll the rod on a flat surface like a table to check for trueness and if it really is bent and severity. If it is bent, I'm sure they're are some on the internet that may work better than trying to rebend it perfectly back into shape.
Clean and grease bearings, or possibly replace. Depending on style of bearing, check the felt washers on the old style ones!
Are your end caps metal or plastic? The plastic ones can crack and wear away from dirt abuse over time.
--The metal ones can get rusty. Clean and also ensure that left end cap has the spring plate attached.
Page 6 of the attached schematic has part numbers and diagram of all parts for the brush roll. You can plug part numbers into eBay, Amazon, Discountcleaningproducts.com, call a vacuum shop for parts.
Chris is a friend of mine with a huge vacuum repair shop in upstate New York specializing in refurbishment of vintage cleaners. He can get you anything you would need for a Hoover Convertible including a brand new Genuine Hoover brush roll or used good condition parts at a low price. I'd be more than happy to pass his contact information to you!
If after all of this you still have an issue, then I'd be looking at your fan and housing next, which may be a good idea anyway!! Also be sure you're using a Genuine Hoover belt. The 044783AG is the industrial one and seems to last longer I find than the Style 48--49258 residential belt for Hoovers.
Best of luck in getting your Hoover Convertibles running terrifically.
Below is a favorite unit of mine!
http://www.hescoinc.com/schematic/hoover/h_U4171.pdf
