~そうもない・~そうにない
Something shows little sign of happening
You’ll be able to judge from the situation that an event is very unlikely to occur.

この厚い雲では、今日は晴れそうにもありません。
kono atsui kumo de wa, kyou wa haresou ni mo arimasen.
What do you think this sentence means?
With these thick clouds, there is almost no chance that it will clear up today.
Judge that an event is very unlikely to happen
~そうもない (or ~そうにない, politely ~そうもありません / ~そうにありません) attaches to a verb stem to express that an event shows almost no possibility or sign of occurring based on present observation.
宿題が多くて、今夜は寝られそうにない。
shukudai ga ookute, kon'ya wa neraresou ni nai.
I have so much homework that I probably won’t get to sleep tonight.
この問題は難しくて、解けそうもない。
kono mondai wa muzukashikute, tokesou mo nai.
This problem is so hard that I don’t think I can solve it.
Attach そうもない to a verb stem
Take the verb stem (ます-form without ます) and attach そうもない or そうにない.
仕事が山積みで、定時には終わりそうもない。
shigoto ga yamazumi de, teiji ni wa owarisou mo nai.
With work piled up, there’s little chance I’ll finish on time.
~そうもない vs ~ないそうだ
With the verb stem, ~そうもない is your own judgment from what you see. After the plain negative form (止まない), ~そうだ only passes on what you heard.
stem + そうもない, looks unlikely to
雨は止みそうもない。
ame wa yamisou mo nai.
The rain doesn’t look like it will stop.
The speaker judges this from the sky.
plain ない-form + そうだ, I hear it won’t
雨は止まないそうだ。
ame wa yamanai sou da.
I hear the rain won’t stop.
Reports information from someone else, such as a forecast.
この荷物は重すぎて、一人では運べそうもない。
kono nimotsu wa omosugite, hitori de wa hakobe sou mo nai.
This luggage is too heavy; there’s no way I can carry it alone.
赤ちゃんがまだ泣いている。しばらく寝そうにない。
akachan ga mada naite iru. shibaraku ne sou ni nai.
The baby is still crying. It doesn’t look like they’ll fall asleep for a while.
申し訳ありませんが、部品が届かないので、今週中には直りそうにありません。
moushiwake arimasen ga, buhin ga todokanai node, konshuuchuu ni wa naori sou ni arimasen.
I’m sorry, but the parts haven’t arrived, so it’s unlikely to be fixed this week.
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