Import thousands of worksheet columns into Access table

I have a Excell Spreadsheet that has over 5,000 worksheets. Each worksheet has the same exact number of column and column names; and each worksheet has at least one row of data. I'm currently using the following VB code to import but it is extremely, extremely slow:
 

Const acImport = 0
Const acSpreadsheetTypeExcel9 = 8

Set objAccess = CreateObject("Access.Application")
objAccess.OpenCurrentDatabase "C:\SomeFolder\data.accdb"

Set objExcel = CreateObject("Excel.Application")
objExcel.Visible = True

strFileName = "C:\SomeFile\File.xlsx"

Set objWorkbook = objExcel.Workbooks.Open(strFileName)
Set colWorksheets = objWorkbook.Worksheets

For Each objWorksheet in colWorksheets 
    Set objRange = objWorksheet.UsedRange 
    strWorksheetName = objWorksheet.Name & "!" & objRange.Address(False, False) 
    objAccess.DoCmd.TransferSpreadsheet acImport, acSpreadsheetTypeExcel9, _
        "Vulnerability", strFileName, True, strWorksheetName
Next

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Does anyone know a faster or more effecient way to get this done?

(Excel and Access 2007)