Manchester United haven't made any marquee signings in the summer transfer window so far despite being linked with a number of big-name players.
The midfield star has told his agent to "put any potential deal on hold" as he waits for Koeman's side to make a formal bid, the report said.
Manchester United wanted Jack Grealish from Aston Villa.
Manchester United will start the new Premier League season with a clash against Crystal Palace on Saturday 19 September.
Active COVID-19 cases top 2K in North Dakota for first time
Only a few exceptions are made, such as clusters when there are 40 or more cases identified in a single workplace/setting. The Auglaize County Health Department (ACHD) continues to see a rise in new cases of COVID-19 in Auglaize County.
If Manchester United want to win the title anytime soon they will have to sign quality players like him. It would be a sporting and social quake, but one of the few positive effects that it could have is that the midfielder goes to the Camp Nou.
They report talks are continuing on Sunday evening, and Van de Beek has "opted for the Red Devils". "Ajax will let him leave if any club will match the price tag [around €40M]", reported by Fabrizio Romano.
Although Van de Beek, a product of the Ajax academy, can play as a box-to-box midfielder - and scored 10 goals in 37 appearances for Ajax last season - it would therefore be expected he would take a deeper role at United should Pogba stay. "Barcelona are so quiet by weeks on VdB".
A similar boost is that Van de Beek has been interested in joining Tottenham in the past, and he is believed to be a big fan of boss Jose Mourinho. He is an absolutely key player for us, a very modern midfielder with lots of depth in his play.