Team Scotland added that Hawkins will remain in Gold Coast University Hospital overnight as a precaution and will be assessed again in the morning by their medical team.
There was a delay in the medical staff getting to Hawkins following his collapse, which has drawn a lot of criticism.
Hawkins was left unattended for various minutes, so much to the dismay of commentators, reporters and viewers.
Organisers said there are strict rules that can see athletes disqualified for seeking medical help.
Team Scotland's statement continued: "Whilst Callum's recovery is our clear priority, we are still reviewing the circumstances of today's race with GOLDOC and the CGF to ensure the continued health and wellbeing of all athletes remains paramount".
Scottish marathoner Callum Hawkins, who was 9th at the Rio Olympics and 4th at the World Champs last summer, was looking to win the Commonwealth Games marathon this morning.
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A Queensland Police spokeswoman said officers would be meeting the vessel when it arrives in Brisbane on Saturday. A search began immediately and continued through the night, with rough conditions hampering efforts.
Sport commentator Steve Cram said it was disgraceful that paramedics took so long to attend to Hawkins.
Mark Peters, chief executive of Games' organisers GOLDOC, promised to investigate the lack of immediate on-course medical care for Hawkins. They've got radios. And finally somebody arrives.
"I was also concerned about the behaviour of a small number of bystanders who chose to take images", he said.
This is not in keeping with the spirit of GC2018.
Hawkins was not the only athlete to suffer in brutal conditions.
The marathon was eventually won by Australia's Mike Shelley in two hours, 16 minutes, 46 seconds.
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On passing the distressed Hawkins, defending champion Shelley knowledgeable reporters: "I wasn't sure what was occurring".
The Gold Coast Commonwealth Games said in a statement there were no major concerns for the athlete.
"Words can't express what we felt; having seen him take that almost two-minute lead, then he started to wobble down at the beach. When I was coming down the home straight I tried to accelerate, but I was just gone".
Radcliffe did defend race victor Shelley against social media criticism claiming he heartlessly ran past Hawkins on his way to claiming gold in the event. "I thought hopefully I can get to the finish line because I was starting to get cramps in my hands". But at the same time I wasn't feeling that great myself and thinking I need to get to the line before the same thing happens to me and hold on to a medal.
Hawkins had moved away from the pack and opened up a gap from Uganda's Munyo Solomon Mutai, who was initially behind him in second.
The women's race was obtained by Namibia's Helalia Johannes, whereas Australia cherished double success throughout the wheelchair marathon races with Madison de Rozario and Kurt Fearnley taking gold throughout the ladies's and males's T54 respectively.
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In the UK , Cabinet ministers said that it was "highly likely" the Assad regime was responsible for the attack. Nebenzia told the Security Council "before the investigation even occurred, guilty parties were identified".