Having Angel McCoughtry at full strength this time figures to boost their chances of changing that.
The Dream look to avenge a loss to the Sun from last month when they host Tuesday night's meeting at Georgia Tech.
Connecticut (9-10) won 85-76 at home over Atlanta on June 1. McCoughtry scored a season-low seven points on 2-of-14 shooting, and coach Michael Cooper said afterward that his star was hampered by a back problem.
McCoughtry's condition must be improving since she was named conference player of the month in June by averaging 19.6 points - also her average for the season as she leads the East in scoring.
McCoughtry had 16 points along with plenty of help in Saturday's 86-73 home win over Washington. Sancho Lyttle scored 18 and Tiffany Hayes also had 16 as the Dream placed five players in double digits in points.
Atlanta (12-5) had 14 of its 18 fast-break points in a second half in which it outscored the Mystics 46-33.
Lyttle said the strong second half was a result of how Cooper makes the players, "run so much (in practice) that other teams cannot keep up with us. We run, run, run and when we're tired, we run some more."
The Sun ended a season-high four-game slide with Saturday's 78-76 victory at Tulsa. Renee Montgomery scored the winning basket on a drive with 5.8 seconds left.
Katie Douglas scored 18 points as Connecticut avenged a 96-83 home loss to the Shock two days earlier. Douglas called out her teammates after that defeat.
"It's no fun losing," said Douglas, averaging 21.3 points in three games this month. "I felt like we were definitely on a skid. I just implored them to have as much energy as we possibly could. We knew we could get the job done. We went on a six-game winning streak earlier so we knew we could play at a much higher form. We took this like it was our last game."
Montgomery came off the bench for 15 points - her second-highest total this year after she scored 18 in the first meeting with the Dream.
Sun forward Chiney Ogwumike had 18 points and 10 rebounds in that win for one of her seven double-doubles, fourth-most in the league.
Connecticut has dropped its last three visits to Atlanta. This one is at Georgia Tech, where the Dream will play their next three home games since their regular home court at Philips Arena is unavailable.