HDFC advises to close my floater card to increase credit limit on my main Core card.

Lately I have been consistently using up 50-70% of my combined credit limit that is shared between my Core card- Regalia Gold & the floater card- Tata Neu Infinity.

On asking my RM to increase my credit limit, he and other people in the credit card team tell me that I will have to close my floater card to apply for a limit increase.

I have not been given a limit increase in the past 6-7 years even though I have been making good spends on these cards and I’ve never missed a payment.

Has anybody else faced this situation? Please suggest how to work around this. Thanks!