According to the company's annual report, filed yesterday, the 48-year-old Darroch has increased his shareholding in Sky to 230,046 shares from just 60,000 last summer.
Sky's directors have indicated a willingness to accept an offer "in excess" of 800p per share from Rupert Murdoch's News Corp for the 61% of the firm that it does not already own. An offer of that level could earn Darroch around £1.84m for his shareholding.
The annual report also revealed that Darroch took home a pay packet of £2.68m last year, including a base salary of £866,250 and a bonus of £1.7m, the maximum achievable amount.
Sky's finance director Andrew Griffith has also increased his Sky shareholding to 57,000 shares from just 5,000 at the end of June 2009.
Griffith took home a total remuneration of £1.24m last year, including a base salary of £525,000 and a bonus of £656,250, up 20% year-on-year.
In its report, Sky said: "Performance during the year was very strong across the board and exceeded each of the targets for adjusted operating profit, adjusted free cash flow and DTH [digital television household] customer growth."
James Murdoch, Rupert Murdoch's son who is the chairman and chief executive of News Corp in Europe and Asia, took home £87,500 for his duties as Sky chairman.
In July, Sky reported an 11% year-on-year increase in revenues to £5.9bn for the 12 months to June 30, delivering an adjusted operating profit of £855m.