After moving above .500 for the first time in two months, the hot-hitting Indians seek their ninth win in 10 games Monday night against the Rangers in Arlington.
The Indians, who started the series with baseball's worst road record at 9-19, won consecutive games away from home for the first time this season.
They've averaged 5.3 runs and batted .293 with nine home runs during an 8-1 stretch that has them above .500 for the first time since they were 5-4 on April 9. Cleveland has also hit .303 with 10 homers while winning seven of eight versus Texas (31-32) dating to last season.
Chisenhall has played a major role in that surge, batting .394 with 13 RBIs over his last nine contests. His .365 average overall is the highest in the majors among players with at least 150 plate appearances.
''He's been a big part of about everything we've done,'' manager Terry Francona said. ''He's been in the middle of it seems like all our rallies.''
Murphy has gone 5 for 7 in the last two games against his former club and is hitting .395 in his last 11 overall. Carlos Santana is 4 for 8 with a homer in three since missing nine with concussion-like symptoms.
Texas suffered another big blow to its lineup Sunday, losing its second first baseman in less than a month. The Rangers learned Mitch Moreland would miss about three months for surgery on an ankle that's been bothering him all season.
Moreland was filling in at first base for Prince Fielder, who is out for the season following neck surgery late last month.
The Rangers, who lead the majors in both disabled list uses and current players on the DL, also lost rookie second baseman Rougned Odor to a shoulder injury Sunday, leaving his status uncertain.
''It is tough,'' said outfielder Alex Rios, who is doing his part by going 10 for 19 in his last five games. "'But the only way you can see it is to keep going. If you quit, it's going to be a long season.''
Short-handed Texas is hitting .181 with runners in scoring position while dropping six of nine. Elvis Andrus was 0 for 4 Sunday to snap a 39-game hitting streak versus Cleveland that was the second-longest against one team dating back to 1914.
The Rangers hope to salvage a split of the set in the finale against left-hander T.J. House (0-1, 3.79 ERA), who gave up two runs over 5 2-3 innings in Tuesday's 5-3 home win over Boston.
Since getting hit hard in an 8-4 loss in his first career start May 23, House hasn't received a decision while allowing three runs with 12 strikeouts over 12 innings in last two.
Texas counters with rookie Nick Martinez (1-2, 3.22), who is 1-1 with a 4.09 ERA since moving into the rotation on May 18.
The right-hander has given up 10 runs and 18 hits over 11 innings in his last two starts after surrendering six runs - four earned - and nine hits over 5 1-3 innings in Wednesday's 6-5 home loss to Baltimore.