Improbable, but not that improbable.
The Red Sox play four in Kansas City. The Yankees play 3 in Anaheim. There couldn’t be much more difference in the strength these opponents. If the Red Sox seep KC, and the Yankees lose 2 to the Angels, that moves the Red Sox to 2 and a half games behind the Yankees. Then a sweep of the Yankees in New York next weekend would put the Red Sox on top.
That last part, of course, is the rather improbably part. Still, even coming a little short of that, the Red Sox could end the week withing striking distance of the division title, with one week to go in the season.
The Baseballsphere Blog 
Yo bro, I was thinking the same thing the last couple of days.
Just 4 back in the loss column.
Most likely scenario is Sox go 3-1 in KC, and Yanks go 1-2 in Anaheim, leaving Sox 3.5 back (3 in loss column) heading into New York.
Obviously the Sox would have to win 2 of 3 or 3 of 3 in NY.
After NY, the Sox get 7 home games to finish the season, and they’re awesome at home. All they really would have to do is tie the Yankees, I think, because they (will have) won the season series.