The Scotland international left Blackpool this summer to join Kenny Dalglish's remodelled squad having previously been a target in the winter window, when his former club refused to sell.
Tottenham also made an attempt to sign Adam in January, but the midfielder only wanted to sign for Liverpool and, ahead of this weekend's Merseyside derby, he is relishing the opportunity.
Speaking on a podcast for fanzine, The Liverpool Way, Adam said: "When the January window passed I never thought it would come back again.
"I never heard anything for the rest of the season and thought that was it. I was just concentrating on Blackpool, but fortunately Kenny Dalglish gave me the opportunity to sign in the summer.
"The first I knew it could happen again was when the bids came in and I told the chairman Liverpool was the only club I was interested in. Fortunately he did the deal with Damien (Comolli) to let me join the club."
He added: "I had to get my head around the fact I was not a Liverpool player, I was still a Blackpool player. That was tough.
"I am not going to lie about it. It was tough for a few weeks after that too. One thing I was never going to hide was the fact I wanted to join Liverpool.
"Once the opportunity was there it was an honour for me to be even linked with the club. When the manager and chairman made the decision I could not leave in January I respected that.
"I knew my staying could have helped Blackpool stay in the league, but when you reach a stage of your career where there is a chance to play at a higher level, you know you might not get it again and want to grab it with both hands."