It is a conversation between two friends about their journey to London.

John asked Lee whether he had talked with the travel agent for Visa regarding their journey to London. Then, Lee replied him that the travel agent informed him that it would take at least one week time for the process.
Please correct the paragraph for any mistakes,
I would very grateful to you.

You use one word incorrectly, have skipped a word that is needed, and have missed an apostrophe "s". You don't talk "for" something, you talk "about" it. And Lee does not reply him, he replies TO him. And "one week's time" is appropriate.