Benjani insists he was never worried about his move to Manchester City falling through - and says he is delighted to have joined a "big club".
Benjani, who has scored 12 goals this season, was relaxed about the saga but did admit he was shocked to be leaving the south coast.
"I am very happy to be a Manchester City player," he said.
"Every player wishes to play for a big club. I enjoyed my time (at Portsmouth) but in life and in football you have to move on.
"I was happy there and I was surprised because it was two days before the transfer window closed (that City made contact). Usually you hear when a club is looking at you two weeks before."
Asked if he was concerned about the deal being scuppered by red tape - or worries over his fitness following a medical - he said: "No, I was cool, I was ready. It went through before the deadline so for me there were no problems because I signed before the deadline."
He also moved to deny comments that any delay was caused by him falling asleep and missing his flight to Manchester.
He said: "No I did not fall asleep, the problem was that I live in Bournemouth and there was no flight so I had to drive to London. The first flight from there was delayed so I came late.
"I am immensely happy to be here though, that is why I drove all the way from my home to London to get here."