I think you can.
I've done a similar thing myself, and went through the same thought process. It's worked fine so far. Specifically, you get similar messages when waiting for funds to settle from a sale of stock within the same brokerage, so I read those messages, bought new stock with unsettled funds (which were classified as "available to trade" but not "settled"), held the new stock until after the funds settled, and was fine as far as I know. Strictly speaking some of the cases involved ETFs rather than stock but I think the same rules apply. Then again I'm new to selling stock (and ETFs) and will defer to more experienced comment.
One time I accidentally tried to sell the new stock before the old funds settled, and luckily the brokerage gave a different warning message that the sale WOULD result in a Good Faith violation; I cancelled the proposed transaction immediately. As I far as I know, that was no harm no foul.