I'm sure they don't, but at the same time it all depends on when they knew about this. If they've known for a while and that's why he didn't play against West ham then hopefully they've got a solution lined up. If it's come out of the blue (which I'm guessing it hasn't) then it's a bit different. They might have a great list of players they'd like, they might even have had discussions with agents, but convincing their club to sell, convincing the player to move when there's an offer on the table, all with 30 or so hours left in the window wouldn't be easy
It's cheeky as fuck from Liverpool mind. The lad is on a season long loan with an agreed future fee and no recall clause, that should be as near to unavailable as you can get. Not really arsed as long as we can replace him, but doing that well with this little time left and the number of positions he covers will be hard despite all the contingency planning the club will have in place