The 23-year-old was substituted after colliding with Gillingham goalkeeper Jack Bonham during last weekend's 1-1 draw but was back in non-contact training on Wednesday.
He will return to full training today as Grant McCann's side make the trip to Gresty Road looking to maintain their place at the top of League One.
"Alfie is fine, he trained yesterday," said McCann.
"It was non-contact but Alfie was loving it because he got loads of touches of the ball.
"Today, he will join in fully with us and he will be fine for tomorrow."
Meanwhile, captain Richie Smallwood has started light training again despite being ruled out for the remainder of the season with a knee injury.
McCann is not able to put a timescale on the 30-year-old's return while Brandon Fleming and Max Clark have returning to training but are unlikely to feature at Crewe.
"Richie Smallwood has been out running on the grass," added McCann.
"In terms of timescale, I am not sure. It is just about how Richie feels after each week.
"Brandon Fleming and Max Clark have trained this week, which is good.
"The game has probably come a little bit too fast for them but they are getting closer. Apart from that, we are fine."
Hull City kick off their Easter fixtures at Crewe tomorrow before welcoming Northampton Town to East Yorkshire on Monday.
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