Boro extended their unbeaten run to nine games - currently the longest undefeated run in England - with a 0-0 draw against Blackburn Rovers, a matchup in which they will feel aggrieved to have only taken a single point having dominated proceedings for long periods.
Ivan Toney's 10th goal of the campaign put Brentford in front on Tuesday night, but the Swans were much the better side and will feel they deserved the win.
Ayew was again on target for the Welsh club and was a thorn in Brentford's side right up until the closing moments when his would-be winner was denied.
Brentford, who have two draws, two wins, and a loss in their last five, will know they will need an improved performance on Saturday if they are to trouble Middlesbrough, but with the league's top scorer in their ranks, they will feel confident.
The Bees have scored almost double the amount of goals that Boro have so far his season. Still, they can only boast seven more shots on target (39 compared to 32), suggesting that Toney's ruthlessness in front of goal is something that the Smoggies are missing.
Brentford will also feel that they have history on their side as this fixture has been kind over the years - the Bees have only lost once in their last six meetings, coming out on top in the last three.
Neil Warnock's Middlesbrough side come into this fixture with the joint-best defensive record in the league, only matched by Watford, but it will be their goalscoring ability that will worry Warnock.
After Tuesday night's game, Warnock said his side lacked the quality they needed to make all of their possession and chances tell as they spurned 20 shots on goal, the most they have managed in any game so far this season.
Boro, who have only conceded 21 shots on their goal in 10 matches so far this season, will know that if they can find some form at the other end of the pitch, they will start to look more like the finished article.
Since being narrowly edged out at Watford on the opening day, Boro have played three of the teams currently in the top six, winning one and drawing two, which bodes well for when the kinder fixtures arrive.
The Smoggies sit two points adrift of second place and now travel to Brentford unbeaten in their last four away games.
Brentford Championship form: WWLDWD
Middlesbrough Championship form: DWDWWD
It remains to be seen whether Morsy will be risked at Brentford, with the likelihood being that he will be given the international break to fully recover.
After reported muscle fatigue, Patrick Roberts was again missing from the starting lineup on Tuesday but could be drafted in to help conjure some attacking spark.
As for Brentford, midfielder Shandon Baptiste last week confirmed that he faces a lengthy spell out with a knee problem.
Aside from Jansson and Baptiste, Frank comes into this fixture with no new injury concerns.
Brentford possible starting lineup:
Raya; Dalsgaard, Pinnock, Sorensen, Henry; Dasilva, Janelt, Marcondes; Mbuemo, Toney, Canos
Middlesbrough possible starting lineup:
Bettinelli; Dijksteel, Fry, McNair; Bola, Howson, Saville, Tavernier, Spence; Roberts, Akpom
We say: Brentford 1-1 Middlesbrough
Both sides will be relishing the chance to get another win under their belts before they head into the international break, and much hinges on how well Boro's disciplined backline copes with Ivan Toney et al. If they can keep it tight, we expect Boro to come away with at least a point.
Brentford have been free-scoring this season, but have a tendency to offer chances up the other end, too. It is just a question of whether Boro can take them.