Former Manchester United youngster Morrison has been known more for his behaviour off the field in his formative professional years but has started to take on a starring role for West Ham in recent weeks, culminating in his first two appearances for the England Under-21 side.
The 20-year-old, who spent the majority of last season on loan at Birmingham after Allardyce signed him from United, struck two goals in the 5-0 win over Lithuania but was also seen arguing and raising a hand towards Zaha after a disagreement over who should take a late penalty.
Allardyce dismissed the coming together before suggesting a place in Roy Hodgson's World Cup squad is not beyond reach for Morrison.
"It's a little early to tell," he said.
"But I think if he continues to be a regular player with our first team then I can't see any reason why he wouldn't get noticed and maybe be pushing that way.
"But, at the moment, he's just started with the Under-21s and, of course, he's played well in those games but they were little or no competition there so I'd have expected that."
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