(CNN) Michael Cohen has asked a US judge for no prison time, citing, as he reveals in a new court filing, more details about his conversations with then-candidate Donald Trump about plans for a Trump Tower in Moscow.

Cohen's attorneys argued that his cooperation with multiple investigations, including the special counsel's Russia probe, and the impact and suffering on Cohen and his family merits avoiding jail. But the filing late Friday night goes even further in tying the President to Cohen's actions.

The new filing suggests in the clearest language yet the extent to which Cohen kept Trump informed of his efforts to move the project to build a Trump Tower in Moscow forward well into June 2016, including consideration of a trip to Moscow that summer, while Trump was moving closer to becoming the presumptive nominee for the Republican Party.

"In fact, Michael had a lengthy substantive conversation with the personal assistant to a Kremlin official following his outreach in January 2016, engaged in additional communications concerning the project as late as June 2016, and kept Client-1 apprised of these communications," the lawyers wrote. Trump is referred to as "Client-1" throughout the filing.

On Friday morning, Trump defended his business dealings in a tweet, saying his dealings during the campaign were "very legal and very cool."

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