The winners of the semi-final will take on either Norway or Serbia for a place in next year's rearranged finals to be staged across Europe - including some games in Glasgow.
Scotland and Israel have got to know each other quite well over the past couple of years, having also met in the 2018-19 and 2019-20 UEFA Nations League tournaments.
They will also face off in Netanya next month in the reverse fixture, but the Nations League is not what these two sides are focussed on right now.
This playoff semi-final was originally set to be played in March, and then June, only for the coronavirus pandemic to wreak havoc on the footballing calendar.
As well as playing out a draw with Israel in their first match back after a 10-month hiatus, Scotland also beat the Czech Republic's reserves 2-1 in Olomouc.
The Czechs had to field an entirely new squad of players due to coronavirus restrictions and Scotland just about got the job done to top their Nations League group.
That victory makes it five games without defeat for Clarke's men since a run of five defeats on the spin, which ended their hopes of qualifying for Euro 2020 directly.
Israel are also having to do things the hard way, having finished fifth in their qualifying group. Like Scotland, they had a half-decent Nations League campaign to fall back on.
The Blue and Whites drew 1-1 with Slovakia in their most recent match four weeks ago and have now won just one of their last nine matches since June 2019.
As Israel showed at Hampden Park last month, though, they certainly cannot be taken lightly in this one-legged semi-final, particularly when the stakes are so high.
Scotland form (all competitions): LWWWDW
Israel form (all competitions): LWLLDD
Liam Palmer started on the opposite flank to Robertson last time out but is now nursing a back injury, so Clarke may be tempted to tweak things rather than fitting square pegs into a round hole.
As for the visitors, they have been dealt a big blow as two of their starters from last month's game in Glasgow have been ruled out after testing positive for coronavirus.
Scotland possible starting lineup:
Marshall; Tierney, Cooper, McKenna, Robertson; McTominay, McGregor, McGinn; Fraser, Dykes, Christie
Israel possible starting lineup:
Marciano; Dasa, Bitton, Tibi, Elhamed, Glazer; Cohen, Natcho, Solomon; Zahavi, Dabbur
We say: Scotland 1-1 Israel (2-1 AET)
The sides have shared a win apiece and a draw in their three meetings over the past two campaigns, suggesting that this should be a very tight match.
Scotland may have home advantage but that counts for little these days, though we are still backing them to edge this one in a game that could go the distance.