Exactly those comments.
He's able to do the vast majority of training, which given he is playing this week I assume includes contact ball work, so imagine the other 30% is fitness related given he hasn't played for nearly a year.
If he's able to play in competitive game this week then not sure why you'd think he wouldn't be able to make a first team appearance in the last 2 months of the season.
Klopp will definitely be conservative with Oxlade-Chamberlain. For example, he didn't fancy Shaqiri or Keita the other day. In the games that are tight, he will go with the players who have gotten us this far.
I'm not saying he won't make an appearance at all, but he's not going to be making an impact on this season's title race. After such a long lay-off, it'll take time for him to adjust back to full speed and match fitness, plus the likelihood is that he will pick up niggles when he first starts playing competitively.
Words cannot express how much I'd love to be proved wrong though!