Teixeira suffered the setback during last Saturday´s 3-0 win over Plymouth at The Hawthorns and a scan has confirmed the club´s worst fears.
Baggies boss Tony Mowbray said: "First and foremost my thoughts are with Filipe. It is a huge blow for him. For us, he has contributed exceptionally well this year and made a big impact on the team and he will be a big loss to us."
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