After a two-month break Woods returned to the Masters and finished in the top 20, but afterwards gave no indication of his plans going forward.
In a chat with The Telegraph, Love said he thinks that it is a mistake by Woods to take breaks away from the sport and added that the former world number one should play more tournaments to recover his form.
"I've spent a lot of time talking to Tiger over the last six months – more so than ever before – and I've been pulling for him to get back playing," Love said.
"I want him on the Presidents Cup team this year and the Ryder Cup team next year. If he can start driving it and putting it a little better, he's right back in it.
"I'm hoping he'll play a lot this summer. I know he's focused on the majors, but those four tournaments are just so hard to pop in and play. He played a lot of good golf at the Masters and I watched a lot of it. I really enjoy watching Tiger and Phil and I'm always pulling for both of them.
"Jordan [Spieth] was the story last week, but I thought Tiger made a pretty good statement with those two middle rounds. I would say he exceeded expectations," he added.