まどろむ
微睡む
madoromu

Godan Verb (mu)

1. to doze (off)

Intransitive
Usually Written in Kana
どうやら、俺おれ微睡まどろんでいたらしい・・・。
dōyara orewa madoronde itarashii....
It looks like I must have dozed off.