This can depend on lots of different factors. A few major questions need to be answered to give you an accurate timeline.
How badly injured were you?
The severity of your injury can impact how long your case will take. Generally, many cases will not be finished until at least you are done treating. That means, if it takes you one year to heal from your injury, it is unlikely the case will settle in one year. However, if you only need 6-8 weeks to heal from your injury, it is possible the case could be settled in one year.
Who was at fault?
Liability is the legal term for which party was the cause of the accident. If the other side has admitted liability, this can help speed up a settlement in your case. If liability is at issue, meaning there is a dispute on who was at fault for the accident, settlement may take longer as the parties fight over who was at fault for the accident.
How were you injured?
Certain types of cases, such as automobile accidents, tend to lend themselves to settling compared to other types of accidents. If you are claiming professional negligence, such as medical malpractice or legal malpractice, those types of cases almost never settle pre-litigation.
Disclaimer: None of the above information is to be interpreted as legal advice. This advice does not in any way create an attorney-client relationship.