While their early exit from the Champions League came as a blow to Shakhtar, it gave them an opportunity to have another extended run in this competition.
On paper, a two-legged tie versus Maccabi was one of the best possible draws for Luis Castro's side, and they took full advantage with a last-gasp second goal in Israel.
Castro will stress to his squad that they still have work ahead of them, particularly when taking into account that this game is just the fourth since Shakhtar's return to competitive action.
However, as well as their run of successive clean sheets stretching back to December 9, Shakhtar have only conceded one goal in their last eight encounters.
Such a return will not fill Maccabi with any confidence ahead of the trip to Ukraine as they bid to earn a rare place in the latter stages of a European competition.
Caretaker boss Patrick van Leeuwen would have felt that his side were still in the tie when only trailing 1-0 heading into added-on time last week.
Tete's 93rd-minute effort has changed the complexion of the tie, leaving Maccabi as heavy outsiders to reach the last 16 of this competition for the first time in their history.
Maccabi warmed up for this contest with a 1-0 win at Hapoel Be'er Sheva in the State Cup, extending their unbeaten run in domestic fixtures to 14 matches.
Shakhtar Donetsk Europa League form: W
Shakhtar Donetsk form (all competitions): WDWDWW
Maccabi Tel Aviv Europa League form: WLDDWL
Maccabi Tel Aviv form (all competitions): WWWWLW
Barring any late fitness issues, Castro could name the same side which started the first leg at the Bloomfield Stadium.
Castro rested a number of key men during the second half against Rukh Vynnyky on Sunday, giving him little reason to bring in fresh legs.
Having made widespread changes at the weekend, Maccabi boss Van Leeuwen is expected to recall the players who were handed a rest.
Shakhtar Donetsk possible starting lineup:
Trubin; Dodo, Kryvtsov, Vitao, Matvienko; Marlos, Stepanenko, Patrick; Solomon, Moraes, Taison
Maccabi Tel Aviv possible starting lineup:
Tenenbaum; Geraldes, Hernandez, Tibi, Saborit; Glazer, Peretz; Hozez, Rikan, Ben Haim; Pesic
We say: Shakhtar Donetsk 3-1 Maccabi Tel Aviv
With little option but to go in search of away goals, we expect Maccabi to come out firing on all cylinders. However, a bold approach in Shakhtar's own backyard is a risky strategy, and it would be a surprise if the home side do not cruise through to the last 16.