Super glue depends on a very close tolerance to set to strength and so might be hard to do.
My best guess...... try a simple rubber tire patch kit.... tires flex some. Let the cement tack up. Gotta be cleaned and grease free and scuffed to a rough surface. The hard part will be pressing it together to put some pressure on it for a few minutes.
If you use a caulk, use a siliconized acrylic caulk; it does not release with time nearly as much as straight silicon caulks. You can pick up a tube for $5 in black at the big box stores like Lowes. DAP Dynaflex is good stuff... DAP AlexFlex is chaepo stuff.
