Sites such as
https://bitcoinfees.21.co/ calculate the average fee value required for approval of transactions.
The higher the Fee value, the sooner we are approved. Does this have a certain limit? If the value of the Fee is too high, is it possible to be approved in less than 10 minutes?
There is no hard limit, you can send a 0.01 BTC transaction and pay 30000BTC in fees if you want to and have the balance for it.
If the value is too high, confirmation should take as fast as the next block or current blocked being mined takes to be mined.