The Blues got the better of Real Madrid on matchday one, while the hosts recorded an away win over Scottish champions Celtic.
Match preview
Twente are making their first appearance in the Women's Champions League group stage after successfully negotiating their way through qualifying.
The Dutch champions dispatched Cardiff City and Valur in the first qualifying round, before they claimed a 8-1 aggregate victory over Osijek to seal their place in the main draw.
Twente went on to enjoy more success in their first group match as Kayleigh van Doorsen netted a brace to record 2-0 away victory over Celtic.
They would have been frustrated with Saturday's outing Excelsor, with Twente requiring an 80th-minute equaliser to salvage a 1-1 home draw against Excelsior.
While they would have left underwhelmed with that result, they will be pleased with the fact the draw extended their unbeaten start to the season to nine competitive matches.
They will have their work cut out to continue that unbeaten run in their first-ever meeting with Chelsea in the Women's Champions League.
Chelsea will travel to the Netherlands in high spirits after winning each of the first four matches of Sonia Bompastor's tenure.
The former Lyon boss kicked off her rein with league wins over Aston Villa and Crystal Palace, before her side got the better of Real Madrid in last week's European clash at Stamford Bridge.
Sjoeke Nusken, Guro Reiten and Mayra Ramirez all got on the scoresheet to fire Chelsea to a 3-2 victory, extending their unbeaten run in head-to-head meetings with Real Madrid to five matches.
The Blues enjoyed another successful outing in Saturday's Women's Super League clash against Arsenal, with Ramirez and Sandy Baltimore scoring inside the opening 20 minutes to guide their team to a 2-1 win at the Emirates Stadium.
As a result of that win, Chelsea have now gone seven competitive matches without defeat since losing 4-3 to Liverpool in May's WSL encounter.
The WSL champions will fancy their chances of extending their unbeaten run on Thursday, having won seven and drawn three of their previous 10 away European champions.
FC Twente Women Women's Champions League form:
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Chelsea Women Women's Champions League form:
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Team News
Twente remain without the services of forward Liz Rijsbergen, who has been out of action since April due to a knee injury.
After making wholesale changes at the weekend, Twente boss Joran Pot could revert to the lineup that started the win over Celtic.
Nikee van Dijk will be given the responsibility of leading the line, with the striker looking to add to the six goals she has scored since arriving from Leuven in the summer.
Chelsea are still having to cope without Sam Kerr, Sophie Ingle, Mia Fishel, Niamh Charles and Aniek Nouwen.
Scotland international Erin Cuthbert is pushing for a starting spot after recovering from a knock to feature as a substitute against Arsenal.
Ramirez will have the chance to score in a third consecutive game when she leads the line against the Dutch champions.
FC Twente Women possible starting lineup:
Clark; Vliek, Knol, Carleer, Tuin; Te Brake, Van Dooren, Van Ginkel; Andradottir, Peddemors, Van Dijk
Chelsea Women possible starting lineup:
Hampton; Bronze, Bright, Buchanan, Baltimore; Cuthbert, Nusken, James; Rytting Kaneryd, Reiten, Ramirez