In "Progressive Blackjack," players should adapt their strategy by prioritizing basic blackjack principles while also considering the potential for a growing jackpot. This involves allocating a portion of their bankroll for the progressive bet without overextending themselves. Maintaining standard betting patterns ensures they protect their bankroll while balancing the excitement of chasing the jackpot. Understanding the specific rules of the variant and the odds associated with the jackpot can further enhance decision-making and overall strategy.