Johnson, meanwhile, allowed four earned runs, seven hits and three walks over five innings.
They did make a late attempt to come back in the ninth inning, with Russell Martin scoring on a RBI single from Steve Pearce, his first as a Blue Jay.
Boston is 1-8 in their last 9 road games and 15-7 in their last 22 division matchups while the under is 7-1-1 in their last 9 Tuesday games. After Emilio Bonifacio flied out foul, Chase d'Arnaud struck out to end the game with the bases still loaded.
"It's everything I thought it would be", he said after helping the Red Sox run their season-high win streak to four.
BLUE JAYS KEY TRENDS: The Blue Jays are a mess, dropping 14 of their last 17 games overall and going just 1-6 in their last seven home games.
Toronto starter Marcus Stroman (1-2) gave up three straight one-out singles in the third inning and all three runners came around to score.
"Some balls found holes early and then they capitalized on some bad pitches later on", Stroman said.
The Blue Jays made it interesting with a three-run ninth inning but Matt Barnes got Devon Travis on a lineout to end the game. "It's baseball. I'm not really anxious about it, to be honest". "We can't sit here and use that as an excuse or a crutch for much longer, but the reality is it's early".More news: Google Reaches Deal With Russia Over Android
Gibbons stressed that while there's always concern when a team goes through "ruts" like his has, there is one saving grace. We're going to need to do the same. Toronto has a 133-166 record at home the versus the Red Sox since 1977. "So I've been putting (in) all the work to. get in the right position and get my swing back the way that I was swinging in spring training".
With Rodriguez set to rejoin the team, the Red Sox optioned Johnson to Triple-A nearly as soon as they gave him the ball as a memento from career win No. 1. Johnson returned to the team this season with a fresh mind, but was hit in the head with a line drive in his first start for the PawSox (Johnson was also hit in the head while pitching for Lowell in 2012).
NOTES: Blue Jays RHP Aaron Sanchez underwent a procedure on his right middle finger in Kansas City on Monday to remove a portion of his nail. He will try playing catch in the next few days. Toronto LHP J.A. Happ (left elbow inflammation) was placed on the 10-day disabled list retroactive to April 17. The 20-game victor last season left his start Sunday during the fifth inning when he felt a tug in the elbow.
Right-hander Ben Taylor was recalled from Triple-A Pawtucket to take Rodriguez's roster spot for the game Monday. Estrada (0-1, 3.50 ERA, 1.278 WHIP, 8.5 K/9) over 3 starts this season has pitched very well to this point. The 28-year-old Graterol had been designated for assignment on Friday to make room for utilityman Chris Coughlin on the 40-man roster.
The Blue Jays will send Francisco Liriano to the hill tomorrow night against last year's AL Cy Young victor, Rick Porcello.
RED 9, ORIOLES 3: At Cincinnati, Adam Duvall hit his first career grand slam, Joey Votto had a two-run shot and Bronson Arroyo got his first win in nearly three years.
Betts gave the Red Sox a 7-4 lead in the seventh, hitting Joe Smith's 1-0 pitch into the second deck for his first home run of the season.