Bony is due to play qualifiers for Ivory Coast in Zambia next week, then against Sierra Leone in November.
Sierra Leone has been at the epicentre of the deadly ebola outbreak, with 1,200 of the 4,500 fatalities coming within the country. The situation has been described as "out of control".
Monk said: "We paid a lot of money for Wilfried and you have to look after your assets. Our medical team and doctors will converse with him, which is the most important thing.
"If there are any concerns between us and we feel this could really be a problem then we would have to pull him out.
"I am not here to stop any player representing his country but if you have an asset like that and there were major concerns the liability lies with us not their country or federation. Players would have to understand and Wilf is a clever lad."
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