The Irons are set to head off to Germany to step up their pre-season schedule, which continued with a 2-1 win at Colchester on Tuesday night.
Carroll - who joined West Ham in a ?15million deal from Liverpool following a successful loan spell last season - did not feature in the end-of-season England friendlies because of a heel injury, but will join up with the rest of the Hammers squad as his rehabilitation continues.
Were the 24-year-old 6ft 3in forward to be fully fit by the time the next set of crucial World Cup qualifiers come around at the start of September, Carroll could well be a key figure for national-team boss Roy Hodgson.
Allardyce, though, is determined to take things one step at a time with the Irons' marquee summer signing.
''Andy is still recovering. He has got four weeks or more to go before he starts full training. His rehab is going pretty well at the moment and will be joining us in Germany, and hopefully he will be available, as will George McCarthy, as quickly as possible," the Hammers boss said.
"I hope it will be before (September) for both of them, but being fit and being ready to play are two different things - they may be fit from the injury, but they are unlikely to be capable of playing straight away.
''If we are going to put our lads through six weeks of preparation and then Andy gets fit with two days to go, you would not expect us to play him, would you?''
Allardyce feels his squad are sharpening up nicely ahead of the new Barclays Premier League campaign after a fourth straight warm-up win, with goals from midfielder Joe Cole and defender James Collins at the start of each half. Colchester substitute Jabo Ibehre headed in a stoppage-time consolation for the League One side.
West Ham will have matches against Mainz and Hamburg during their German camp, as preparations increase for the first competitive action at home to newly promoted Cardiff on August 17.