Jurgen Klopp has revealed he was not interested in signing Mkhitaryan, before the midfielder signed for Manchester United.
Klopp coached the attacking midfielder at Dortmund, but the pair will be on opposite sides in the EPL.
The 59-time Armenia international starred in the Bundesliga after being bought by Klopp from Shakhtar Donetsk.
However, the German had no desire to reunite with Mkhitaryan at Anfield as the 27-year-old instead completed a £26 million move to United.
“I had that player. If you have had players, you know more about them. You want to learn about other players. That’s how it is,” Klopp told the Liverpool Echo.
“I knew quite early that he was going this way [to United]. There was absolutely no reason for me to jump in there. That isn’t how we work.
“We didn’t look for players we had already worked with. If you do that, you know their good, their bad and you wonder whether you will do it again.
“It’s not boring but you know everything about each other so how can you develop? Where is the next step? Where is the next push for development?
“We could have gone for a lot of players. But, first of all, you have to think, ‘what do I need?'”
Klopp has instead brought in numerous others, including Sadio Mane, Georginio Wijnaldum, Joel Matip and Loris Karius.