Videoton could make national history against Sporting Lisbon by becoming the first Hungarian club to qualify from the group stages of a major UEFA competition.
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But their fate is not in their own hands as they head to the Jose Alvalade stadium for the final round of Europa League group fixtures.
Videoton need to beat Sporting and for Swiss side Basel, who are two points better off and with a superior goal difference, to lose at Group G winners Genk.
Videoton will need to improve on their recent form if they are to uphold their side of the bargain, having suffered successive European defeats without scoring.
"We know things are much more difficult now," said Videoton coach Paulo Sousa after the 1-0 home defeat to Genk.
Videoton are without a win in seven matches in all competitions.
However, the Hungarian side did beat Sporting 3-0 earlier in the campaign, with first-half goals from Paulo Vinicius, Filipe Oliveira and Nemanja Nikolic.
That defeat prompted the departure of Sporting coach Ricardo Sa Pinto and the Portuguese side have nothing to play for in Lisbon.
If Videoton could qualify for the last 32 with a victory in Lisbon it would complete a special double for Sousa, who used to play for Sporting.
Videoton were the last Hungarian side to make a mark in Europe with their run to the UEFA Cup final in 1985, where they eventually fell 3-1 on aggregate to Real Madrid.