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The pair split in March after a tumultuous three year relationship but friends say the NFL football player misses their boxer Rocky so much, he flies to Kim's home in Los Angeles to see him every chance he gets.
One pal said: "I was just with him a few weeks ago at his place in New Orleans and he kept talking about how much he missed Rocky. He said he was going to fly to Los Angeles to see the dog, but obviously Kim has the dog the majority of the time, so there's no way to avoid seeing her."
Reggie – who plays for the New Orleans Saints – has suffered a recent injury, breaking the fibula in his right leg in September, but this will give him a chance to spend his time recovering with Rocky.
The friend told Hollywoodlife.com: "Reggie loves Los Angeles. He travels more than any other player in the league, I'm sure he's spending most of his time out in Los Angeles."
However, it is believed Reggie is hoping to win back 29-year-old Kim, who recently broke up with NFL football player Miles Austin.
When asked if reconciliation was on the cards, he replied: "Yeah, anything's possible. We've always been on good terms, always. No matter what happens."
Kim announced earlier this month she was temporarily relocating to New York City top to open a new DASH Boutique store and film a reality TV show with her sister Kourtney.
