Help with すぐ in a sentence


> 外套に **すぐ** シャツを着た男

Is すぐ there with its usual connotations of “close by, right there”? I can’t
make sense of this sentence.




> 外套に **すぐ** シャツを着た男

I think the すぐ means "directly".

I understand the phrase as: "a man wearing only an undershirt under a coat"
(wearing nothing between the undershirt and the coat).

But I think it'd be more natural/common to say it as 「外套 **のすぐ下に** シャツを着た男」




> 外套に **すぐ** シャツを着た男

I think the すぐ means "directly".

I understand the phrase as: "a man wearing only an undershirt under a coat"
(wearing nothing between the undershirt and the coat).

But I think it'd be more natural/common to say it as 「外套 **のすぐ下に** シャツを着た男」

