As of this post, we have projections in 412 of the House's 435 seats. When we also add in two unprojected races in which the leading candidates are from the same party, that number grows to 414 (two Democrats are facing off in California's 34th District and two Republicans in Washington's 4th District). Among those seats, Republicans have a 212-to-202 seat edge, leaving the GOP needing six of the remaining 23 seats to secure the minimum 218 seats for a majority (they current control 221).
Looking at the 21 other seats, 10 of them are in California, which will not finish tallying its votes for some time to come. Out of those, four have Democratic incumbents in them who are, on balance, more likely than not going to win, as may Republican Rep. David Valadao (who is currently leading by 10 percentage points in California's 22nd District). So just to play out where things may be, let's add four to the Democratic total and one to the GOP and leave the other five California seats up in the air, which puts the math at 213-206 Republican. Democrats also have leads in Maine's 2nd District, Arizona's 4th District, Oregon's 5th District and Washington's 3rd District that look more likely than not to hold up. The same is true of Republicans' edges in Colorado's 3rd District and Arizona's 1st. If we assign those still-unprojected seats, that makes it 215-210 Republicans with 10 seats left.
As such, it seems like the range for Republicans is something like 216 to 223 and around 212 to 219 for Democrats, which means there is still a slim chance for Democrats to reach a majority. All told, then, the most likely outcome may be a ever-so-slightly smaller Republican majority than their current 221-to-214 advantage. Still a lot left to play out in those unprojected seats, though.