Is there a infix function equivalent for `flip (.)` has same or nearby infix level with `(.)`?

Question

Is there a infix function equivalent for flip (.) has same or nearby infix level with (.) ?

(not self defined, just like flip ($) for (&) in module Data.Function)

In Control.Category, (<<<) and (>>>) is infixr 1, and (.) is infixr 9, the infix level between them are too far away.