Jet is very fast. Faster even than SQL Server when you can run the database locally. Once a LAN gets into the picture, you need to worry about how much data you are pulling over the wire. Because of the way Jet/ACE work, Access pulls lots of data over the wire so the larger your tables get, the slower the application becomes and there really isn't much you can do about it so at that point you need to look at alternatives such as SQL Server.
Simply converting your tables to SQL Server and not optimizing your app for client/server will probably make the app even slower. Once you make the decision to upsize, you need to make sure you take advantage of SQL Server's ability to run queries on the server and send back down the wire only the data requested. So the first step is to make sure that all forms are bound to queries with selection criteria that severely limits the rows returned. This means switching from using the filter property of the form to having search textboxes or combos in your form headers. As you change the search criteria, you requery the form and that sends the query to the server so the requested rows can be returned. You may also have to modify individual queries to remove any UDF or VBA functions that cannot be sent to the server for processing thereby forcing Access to request full tables to be sent down to the app for local processing. VBA functions and UDF in the Select clause are not a problem. Access just strips them out and then runs them on the recordset returned by the server. In other clauses, they can affect the rows that are selected so if of Moses can't go to the mountain, the mountain has to come to Moses. There are a number of good articles on optimizing Access for client/server which you should read before you begin.
Almost all of my apps end up with non-Jet/ACE BEs at some point in their lives so I develop my apps from day one with a client/server mindset so I can upsize any of my apps in under an hour when the time comes. Once you understand what you need to avoid, it becomes second nature and doesn't adversly impact apps that never get upsized.