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Having enough Ethereum for transaction fees is recommended, especially during times of high transaction volume and increased Ethereum prices. Purchasing Ethereum during a bull run can be difficult due to the constantly increasing price, including the gas fee. Some cryptocurrencies may experience price increases followed by drops, so it's wise to buy now in preparation for such circumstances.
I am not sure how he bought some tokens on the ETH network without owning some Ethereum in the first place... anyway, if he plans to use his tokens one day, for selling or fun, he will definitely need some ETH if he wishes to move those tokens feely.
As all others advised, since OP decided to go for these tokens he should start buying Ethereum. And if we see some crazy spike with Ethereum transaction fees as before (or maybe even higher) he will need to be prepared for that.