Windows live mail not uploading messages

I am trying to move nearly 5GB of emails to outlook.com. I have downloaded them from gmail to windows live mail and now moving them to outlook.com. For last few days everything was fine, nearly 90% of messages was moved successfully. But from last two days even after keeping windows live mail open and doing sync for long time, the count is not changing. I think the outlook.com is not allowing me to sync those old mails from my computer to cloud. As all of those mails are really important, I do not want to lose them and they are needed frequently so keeping in archive will not work for me.