One of my teams has also being hit by the New tranfer market, people whant to buy player so badly, that the number of offers to my players have increased a lot.

Thats what they whant, put people Buying scouts or by negotiation, more tokens for them(money). 50T or at least 7T for any purchase, instead of 1 or 2 in the market.
If you have to spend more tokens, at some point you Will need to buy, because 35T are nothing, If you have to spend at least 7T for a player.