If this is your employer. That's entirely up to your company's Travel / Expense Reimbursement policy. Consult with your company's HR/Travel department.
As an employee, reimbursement for expense is generally not taxable income (US). The only risk would be how long it takes your employer to reimburse you.

On the other hand, if by "company I do some work for", you are a vendor / contractor, it is more complicated. Presumably you will record the ticket as a business expense and thus even it out tax-wise.
But just be generally aware of the risk that businesses may not treat reimbursement to a vendor / contractor with the same urgency as making Payroll to an employee.