Grealish played the full 90 minutes as Everton beat former club Aston Villa 1-0 in the Premier League on Sunday.
Everton, who are 10th in the table, host Leeds on Monday.
Moyes said they were in “close contact” with City about whether Grealish will stay at Everton during his recovery.
Asked how it impacts the possibility making his transfer permanent in the summer, Moyes said: “We’re not thinking about it at the moment.
“We’re only thinking about Jack. We’re upset and disappointed for him that he’s got an injury.”
Grealish’s form at Everton led to suggestions that he could earn a recall to the England squad and push for a place at the World Cup this summer.
His most recent appearance came under caretaker manager Lee Carsley in October 2024.
Grealish won three Premier League titles, the Champions League and the FA Cup after joining City from Aston Villa for a then British record £100m in 2021.
But he fell out of favour last season, making only seven league starts before being left out of the squad for the Club World Cup in the US.
BBC News
Khamrah by Lattafa for Men - 3.4 oz EDP Spray
4% OffGhost Sweetheart Eau de Toilette | Pineapple, Jasmine and Sandalwood | Perfume for Women 50 ml
50% OffMarc Jacobs Dot Eau De Parfum for Women, 100 ml
42% OffTed Baker W Eau de Toilette for Her, Fig Leaf, White Peony and Violet Top Notes, Pink Orchid and Raspberry Middle Notes, 75ml
£11.77 (£15.69 / 100 ml) (as of 04/11/2026 05:40 GMT +00:00 - More infoProduct prices and availability are accurate as of the date/time indicated and are subject to change. Any price and availability information displayed on [relevant Amazon Site(s), as applicable] at the time of purchase will apply to the purchase of this product.)Ted Baker Woman Pink Eau de Toilette Spray Floral Green Feminine Fragrance, Opening Notes are Fresh Peach, Bergamot and Tangerine with Warm Musk, Vanilla and Vetiver Base, 100ml
11% OffVera Wang Princess Eau de Toilette - 30 ml
Choco Musk 50ml Eau De Parfum for men and women | Chocolate Musk by Jannat Aromas
17% OffChristina Aguilera Signature Eau de Parfum (50ml) Floral, Fruity & Exotic Scent, Luxury Fragrance for Women
9% OffCalvin Klein - Eau De Toilette CKIN2U - Calvin Klein Women, Ladies Perfume, Women's Perfume, Calvin Klein Perfume, Calvin Klein One - 150 ml
5% OffJimmy Choo Flash Eau de Parfum, 60 ml (Pack of 1)
3% OffFruit of the Loom Men's Heavy T Shirt, White, XL UK
Now retrieving the rating.
28% OffATNKE LED Lighted Beanie Cap,USB Rechargeable Running Hat Ultra Bright 4 LED Waterproof Light Winter Warm Gifts for Men and Women/Pink
Now retrieving the rating.
17% OffMen's 1/4 Zip Pullover UK Sale Clearance, Fleece Sweatshirt Casual Jumper Long Sleeve T-shirt Top Stand Collar Sweater Plain Pullover Sports Leisure Workwear Quarter Zip Sweater Lightweight Jumpers
Now retrieving the rating.
£5.88 (as of 11/11/2025 23:52 GMT +00:00 - More infoProduct prices and availability are accurate as of the date/time indicated and are subject to change. Any price and availability information displayed on [relevant Amazon Site(s), as applicable] at the time of purchase will apply to the purchase of this product.)