There's no accurate prediction if eth price will reach 4k+ and the timeframe you have given. It is possible that it will reach and it is also a no. If bitcoin increased more then it is possible that eth would also increase but as of now, eth alone reaching 4k+ would mean that there's a hype or something good news then yes it will reach but I don't think there's a hype for eth as of now so no and would only depends on Bitcoin price increase. I'd rather give more time rather than a month and maybe it will reach that price.