The surge in altcoins has led many traders to forecast the dawn of a new altcoin season. According to "The Moon" a pseudonymous Twitter analyst, altcoin seasons follow a major run-up in the price of BTC, especially when the price stalls or pulls back.
It is too soon for that to happen, the price of bitcoin has recovered but it is still not enough to produce the hype that you are looking for and the increase in the price of altcoins you want to see, let bitcoin works its magic, I really think that by the end of the year a price of bitcoin of 100k is within reach, and if anything I am being conservative in my prediction, as I think the price of bitcoin will go much higher and that is the moment altcoins will begin to go up in a significant way.